Finding the Third Proportional to 14,373,667,927,382 and 31,961,082,875,103

Step by Step Solution

1. Step 1: Write the proportion equation
   14,373,667,927,382 : 31,961,082,875,103 = 31,961,082,875,103 : x
2. Step 2: Convert to fraction form
   14,373,667,927,382/31,961,082,875,103 = 31,961,082,875,103/x
3. Step 3: Cross multiply
   14,373,667,927,382x = 31,961,082,875,103 × 31,961,082,875,103
4. Step 4: Simplify right side
   14,373,667,927,382x = 1,021,510,818,549,202,237,746,315,264
5. Step 5: Solve for x
   x = 1,021,510,818,549,202,237,746,315,264/14,373,667,927,382
6. Step 6: Final answer
   x = 71,068,207,760,888.41