Finding the Third Proportional to 32,778.50 and 49,772.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,778.50 : 49,772.25 = 49,772.25 : x
2. Step 2: Convert to fraction form
   32,778.50/49,772.25 = 49,772.25/x
3. Step 3: Cross multiply
   32,778.50x = 49,772.25 × 49,772.25
4. Step 4: Simplify right side
   32,778.50x = 2,477,276,870.06
5. Step 5: Solve for x
   x = 2,477,276,870.06/32,778.50
6. Step 6: Final answer
   x = 75,576.27