Finding the Third Proportional to 22,165 and 32,518.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,165 : 32,518.50 = 32,518.50 : x
2. Step 2: Convert to fraction form
   22,165/32,518.50 = 32,518.50/x
3. Step 3: Cross multiply
   22,165x = 32,518.50 × 32,518.50
4. Step 4: Simplify right side
   22,165x = 1,057,452,842.25
5. Step 5: Solve for x
   x = 1,057,452,842.25/22,165
6. Step 6: Final answer
   x = 47,708.23