Finding the Third Proportional to 31,313 and 67,180

Step by Step Solution

1. Step 1: Write the proportion equation
   31,313 : 67,180 = 67,180 : x
2. Step 2: Convert to fraction form
   31,313/67,180 = 67,180/x
3. Step 3: Cross multiply
   31,313x = 67,180 × 67,180
4. Step 4: Simplify right side
   31,313x = 4,513,152,400
5. Step 5: Solve for x
   x = 4,513,152,400/31,313
6. Step 6: Final answer
   x = 144,130.31