Finding the Third Proportional to 31,344 and 42,980

Step by Step Solution

1. Step 1: Write the proportion equation
   31,344 : 42,980 = 42,980 : x
2. Step 2: Convert to fraction form
   31,344/42,980 = 42,980/x
3. Step 3: Cross multiply
   31,344x = 42,980 × 42,980
4. Step 4: Simplify right side
   31,344x = 1,847,280,400
5. Step 5: Solve for x
   x = 1,847,280,400/31,344
6. Step 6: Final answer
   x = 58,935.69