Finding the Third Proportional to 31,874 and 46,670

Step by Step Solution

1. Step 1: Write the proportion equation
   31,874 : 46,670 = 46,670 : x
2. Step 2: Convert to fraction form
   31,874/46,670 = 46,670/x
3. Step 3: Cross multiply
   31,874x = 46,670 × 46,670
4. Step 4: Simplify right side
   31,874x = 2,178,088,900
5. Step 5: Solve for x
   x = 2,178,088,900/31,874
6. Step 6: Final answer
   x = 68,334.34