Finding the Third Proportional to 32,569 and 71,127

Step by Step Solution

1. Step 1: Write the proportion equation
   32,569 : 71,127 = 71,127 : x
2. Step 2: Convert to fraction form
   32,569/71,127 = 71,127/x
3. Step 3: Cross multiply
   32,569x = 71,127 × 71,127
4. Step 4: Simplify right side
   32,569x = 5,059,050,129
5. Step 5: Solve for x
   x = 5,059,050,129/32,569
6. Step 6: Final answer
   x = 155,333.30