Finding the Third Proportional to 14,537,823,436 and 31,622,823,974

Step by Step Solution

1. Step 1: Write the proportion equation
   14,537,823,436 : 31,622,823,974 = 31,622,823,974 : x
2. Step 2: Convert to fraction form
   14,537,823,436/31,622,823,974 = 31,622,823,974/x
3. Step 3: Cross multiply
   14,537,823,436x = 31,622,823,974 × 31,622,823,974
4. Step 4: Simplify right side
   14,537,823,436x = 1,000,002,996,090,589,151,232
5. Step 5: Solve for x
   x = 1,000,002,996,090,589,151,232/14,537,823,436
6. Step 6: Final answer
   x = 68,786,293,938.22