Finding the Third Proportional to 9,661.50 and 22,358.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,661.50 : 22,358.25 = 22,358.25 : x
2. Step 2: Convert to fraction form
   9,661.50/22,358.25 = 22,358.25/x
3. Step 3: Cross multiply
   9,661.50x = 22,358.25 × 22,358.25
4. Step 4: Simplify right side
   9,661.50x = 499,891,343.06
5. Step 5: Solve for x
   x = 499,891,343.06/9,661.50
6. Step 6: Final answer
   x = 51,740.55