Finding the Third Proportional to 17,782.50 and 38,321.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,782.50 : 38,321.25 = 38,321.25 : x
2. Step 2: Convert to fraction form
   17,782.50/38,321.25 = 38,321.25/x
3. Step 3: Cross multiply
   17,782.50x = 38,321.25 × 38,321.25
4. Step 4: Simplify right side
   17,782.50x = 1,468,518,201.56
5. Step 5: Solve for x
   x = 1,468,518,201.56/17,782.50
6. Step 6: Final answer
   x = 82,582.21