Finding the Third Proportional to 17,752.50 and 38,238.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,752.50 : 38,238.75 = 38,238.75 : x
2. Step 2: Convert to fraction form
   17,752.50/38,238.75 = 38,238.75/x
3. Step 3: Cross multiply
   17,752.50x = 38,238.75 × 38,238.75
4. Step 4: Simplify right side
   17,752.50x = 1,462,202,001.56
5. Step 5: Solve for x
   x = 1,462,202,001.56/17,752.50
6. Step 6: Final answer
   x = 82,365.98