Finding the Third Proportional to 3,139.50 and 3,414

Step by Step Solution

1. Step 1: Write the proportion equation
   3,139.50 : 3,414 = 3,414 : x
2. Step 2: Convert to fraction form
   3,139.50/3,414 = 3,414/x
3. Step 3: Cross multiply
   3,139.50x = 3,414 × 3,414
4. Step 4: Simplify right side
   3,139.50x = 11,655,396
5. Step 5: Solve for x
   x = 11,655,396/3,139.50
6. Step 6: Final answer
   x = 3,712.50