Finding the Third Proportional to 32,767.50 and 49,422.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,767.50 : 49,422.75 = 49,422.75 : x
2. Step 2: Convert to fraction form
   32,767.50/49,422.75 = 49,422.75/x
3. Step 3: Cross multiply
   32,767.50x = 49,422.75 × 49,422.75
4. Step 4: Simplify right side
   32,767.50x = 2,442,608,217.56
5. Step 5: Solve for x
   x = 2,442,608,217.56/32,767.50
6. Step 6: Final answer
   x = 74,543.62