Finding the Third Proportional to 31,430 and 68,398

Step by Step Solution

1. Step 1: Write the proportion equation
   31,430 : 68,398 = 68,398 : x
2. Step 2: Convert to fraction form
   31,430/68,398 = 68,398/x
3. Step 3: Cross multiply
   31,430x = 68,398 × 68,398
4. Step 4: Simplify right side
   31,430x = 4,678,286,404
5. Step 5: Solve for x
   x = 4,678,286,404/31,430
6. Step 6: Final answer
   x = 148,847.80