Finding the Third Proportional to 31,937 and 67,181

Step by Step Solution

1. Step 1: Write the proportion equation
   31,937 : 67,181 = 67,181 : x
2. Step 2: Convert to fraction form
   31,937/67,181 = 67,181/x
3. Step 3: Cross multiply
   31,937x = 67,181 × 67,181
4. Step 4: Simplify right side
   31,937x = 4,513,286,761
5. Step 5: Solve for x
   x = 4,513,286,761/31,937
6. Step 6: Final answer
   x = 141,318.43