Finding the Third Proportional to 31,596 and 73,146

Step by Step Solution

1. Step 1: Write the proportion equation
   31,596 : 73,146 = 73,146 : x
2. Step 2: Convert to fraction form
   31,596/73,146 = 73,146/x
3. Step 3: Cross multiply
   31,596x = 73,146 × 73,146
4. Step 4: Simplify right side
   31,596x = 5,350,337,316
5. Step 5: Solve for x
   x = 5,350,337,316/31,596
6. Step 6: Final answer
   x = 169,335.91