Finding the Third Proportional to 32,778 and 70,229.53

Step by Step Solution

1. Step 1: Write the proportion equation
   32,778 : 70,229.53 = 70,229.53 : x
2. Step 2: Convert to fraction form
   32,778/70,229.53 = 70,229.53/x
3. Step 3: Cross multiply
   32,778x = 70,229.53 × 70,229.53
4. Step 4: Simplify right side
   32,778x = 4,932,187,059.59
5. Step 5: Solve for x
   x = 4,932,187,059.59/32,778
6. Step 6: Final answer
   x = 150,472.48