Finding the Third Proportional to 32,778 and 69,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,778 : 69,565.50 = 69,565.50 : x
2. Step 2: Convert to fraction form
   32,778/69,565.50 = 69,565.50/x
3. Step 3: Cross multiply
   32,778x = 69,565.50 × 69,565.50
4. Step 4: Simplify right side
   32,778x = 4,839,358,790.25
5. Step 5: Solve for x
   x = 4,839,358,790.25/32,778
6. Step 6: Final answer
   x = 147,640.45