Finding the Third Proportional to 17,914 and 38,292

Step by Step Solution

1. Step 1: Write the proportion equation
   17,914 : 38,292 = 38,292 : x
2. Step 2: Convert to fraction form
   17,914/38,292 = 38,292/x
3. Step 3: Cross multiply
   17,914x = 38,292 × 38,292
4. Step 4: Simplify right side
   17,914x = 1,466,277,264
5. Step 5: Solve for x
   x = 1,466,277,264/17,914
6. Step 6: Final answer
   x = 81,850.91