Finding the Third Proportional to 31,597 and 73,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,597 : 73,148.50 = 73,148.50 : x
2. Step 2: Convert to fraction form
   31,597/73,148.50 = 73,148.50/x
3. Step 3: Cross multiply
   31,597x = 73,148.50 × 73,148.50
4. Step 4: Simplify right side
   31,597x = 5,350,703,052.25
5. Step 5: Solve for x
   x = 5,350,703,052.25/31,597
6. Step 6: Final answer
   x = 169,342.12