Finding the Third Proportional to 17,792.50 and 38,507

Step by Step Solution

1. Step 1: Write the proportion equation
   17,792.50 : 38,507 = 38,507 : x
2. Step 2: Convert to fraction form
   17,792.50/38,507 = 38,507/x
3. Step 3: Cross multiply
   17,792.50x = 38,507 × 38,507
4. Step 4: Simplify right side
   17,792.50x = 1,482,789,049
5. Step 5: Solve for x
   x = 1,482,789,049/17,792.50
6. Step 6: Final answer
   x = 83,337.87