Finding the Third Proportional to 9,598.50 and 22,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,598.50 : 22,747.50 = 22,747.50 : x
2. Step 2: Convert to fraction form
   9,598.50/22,747.50 = 22,747.50/x
3. Step 3: Cross multiply
   9,598.50x = 22,747.50 × 22,747.50
4. Step 4: Simplify right side
   9,598.50x = 517,448,756.25
5. Step 5: Solve for x
   x = 517,448,756.25/9,598.50
6. Step 6: Final answer
   x = 53,909.34