Finding the Third Proportional to 17,614 and 38,495

Step by Step Solution

1. Step 1: Write the proportion equation
   17,614 : 38,495 = 38,495 : x
2. Step 2: Convert to fraction form
   17,614/38,495 = 38,495/x
3. Step 3: Cross multiply
   17,614x = 38,495 × 38,495
4. Step 4: Simplify right side
   17,614x = 1,481,865,025
5. Step 5: Solve for x
   x = 1,481,865,025/17,614
6. Step 6: Final answer
   x = 84,129.95