Finding the Third Proportional to 22,542 and 32,469.75

Step by Step Solution

1. Step 1: Write the proportion equation
   22,542 : 32,469.75 = 32,469.75 : x
2. Step 2: Convert to fraction form
   22,542/32,469.75 = 32,469.75/x
3. Step 3: Cross multiply
   22,542x = 32,469.75 × 32,469.75
4. Step 4: Simplify right side
   22,542x = 1,054,284,665.06
5. Step 5: Solve for x
   x = 1,054,284,665.06/22,542
6. Step 6: Final answer
   x = 46,769.79