Finding the Third Proportional to 32,767.50 and 49,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,767.50 : 49,423.50 = 49,423.50 : x
2. Step 2: Convert to fraction form
   32,767.50/49,423.50 = 49,423.50/x
3. Step 3: Cross multiply
   32,767.50x = 49,423.50 × 49,423.50
4. Step 4: Simplify right side
   32,767.50x = 2,442,682,352.25
5. Step 5: Solve for x
   x = 2,442,682,352.25/32,767.50
6. Step 6: Final answer
   x = 74,545.89