Finding the Third Proportional to 22,645 and 32,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,645 : 32,617.50 = 32,617.50 : x
2. Step 2: Convert to fraction form
   22,645/32,617.50 = 32,617.50/x
3. Step 3: Cross multiply
   22,645x = 32,617.50 × 32,617.50
4. Step 4: Simplify right side
   22,645x = 1,063,901,306.25
5. Step 5: Solve for x
   x = 1,063,901,306.25/22,645
6. Step 6: Final answer
   x = 46,981.73