Finding the Third Proportional to 15,782.34 and 24,227.86

Step by Step Solution

1. Step 1: Write the proportion equation
   15,782.34 : 24,227.86 = 24,227.86 : x
2. Step 2: Convert to fraction form
   15,782.34/24,227.86 = 24,227.86/x
3. Step 3: Cross multiply
   15,782.34x = 24,227.86 × 24,227.86
4. Step 4: Simplify right side
   15,782.34x = 586,989,169.89
5. Step 5: Solve for x
   x = 586,989,169.89/15,782.34
6. Step 6: Final answer
   x = 37,192.78