Finding the Third Proportional to 31,626 and 67,146

Step by Step Solution

1. Step 1: Write the proportion equation
   31,626 : 67,146 = 67,146 : x
2. Step 2: Convert to fraction form
   31,626/67,146 = 67,146/x
3. Step 3: Cross multiply
   31,626x = 67,146 × 67,146
4. Step 4: Simplify right side
   31,626x = 4,508,585,316
5. Step 5: Solve for x
   x = 4,508,585,316/31,626
6. Step 6: Final answer
   x = 142,559.45