Finding the Third Proportional to 32,146 and 71,745

Step by Step Solution

1. Step 1: Write the proportion equation
   32,146 : 71,745 = 71,745 : x
2. Step 2: Convert to fraction form
   32,146/71,745 = 71,745/x
3. Step 3: Cross multiply
   32,146x = 71,745 × 71,745
4. Step 4: Simplify right side
   32,146x = 5,147,345,025
5. Step 5: Solve for x
   x = 5,147,345,025/32,146
6. Step 6: Final answer
   x = 160,123.97