Finding the Third Proportional to 31,418 and 68,290

Step by Step Solution

1. Step 1: Write the proportion equation
   31,418 : 68,290 = 68,290 : x
2. Step 2: Convert to fraction form
   31,418/68,290 = 68,290/x
3. Step 3: Cross multiply
   31,418x = 68,290 × 68,290
4. Step 4: Simplify right side
   31,418x = 4,663,524,100
5. Step 5: Solve for x
   x = 4,663,524,100/31,418
6. Step 6: Final answer
   x = 148,434.79