Finding the Third Proportional to 17,966.38 and 38,200.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,966.38 : 38,200.75 = 38,200.75 : x
2. Step 2: Convert to fraction form
   17,966.38/38,200.75 = 38,200.75/x
3. Step 3: Cross multiply
   17,966.38x = 38,200.75 × 38,200.75
4. Step 4: Simplify right side
   17,966.38x = 1,459,297,300.56
5. Step 5: Solve for x
   x = 1,459,297,300.56/17,966.38
6. Step 6: Final answer
   x = 81,223.80