Finding the Third Proportional to 14,382 and 23,091

Step by Step Solution

1. Step 1: Write the proportion equation
   14,382 : 23,091 = 23,091 : x
2. Step 2: Convert to fraction form
   14,382/23,091 = 23,091/x
3. Step 3: Cross multiply
   14,382x = 23,091 × 23,091
4. Step 4: Simplify right side
   14,382x = 533,194,281
5. Step 5: Solve for x
   x = 533,194,281/14,382
6. Step 6: Final answer
   x = 37,073.72