Finding the Third Proportional to 32,138.50 and 69,215.78

Step by Step Solution

1. Step 1: Write the proportion equation
   32,138.50 : 69,215.78 = 69,215.78 : x
2. Step 2: Convert to fraction form
   32,138.50/69,215.78 = 69,215.78/x
3. Step 3: Cross multiply
   32,138.50x = 69,215.78 × 69,215.78
4. Step 4: Simplify right side
   32,138.50x = 4,790,824,374.05
5. Step 5: Solve for x
   x = 4,790,824,374.05/32,138.50
6. Step 6: Final answer
   x = 149,068.08