Finding the Third Proportional to 32,742 and 69,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,742 : 69,778.50 = 69,778.50 : x
2. Step 2: Convert to fraction form
   32,742/69,778.50 = 69,778.50/x
3. Step 3: Cross multiply
   32,742x = 69,778.50 × 69,778.50
4. Step 4: Simplify right side
   32,742x = 4,869,039,062.25
5. Step 5: Solve for x
   x = 4,869,039,062.25/32,742
6. Step 6: Final answer
   x = 148,709.27