Finding the Third Proportional to 31,414 and 46,180

Step by Step Solution

1. Step 1: Write the proportion equation
   31,414 : 46,180 = 46,180 : x
2. Step 2: Convert to fraction form
   31,414/46,180 = 46,180/x
3. Step 3: Cross multiply
   31,414x = 46,180 × 46,180
4. Step 4: Simplify right side
   31,414x = 2,132,592,400
5. Step 5: Solve for x
   x = 2,132,592,400/31,414
6. Step 6: Final answer
   x = 67,886.69