Finding the Third Proportional to 4,036.50 and 5,414

Step by Step Solution

1. Step 1: Write the proportion equation
   4,036.50 : 5,414 = 5,414 : x
2. Step 2: Convert to fraction form
   4,036.50/5,414 = 5,414/x
3. Step 3: Cross multiply
   4,036.50x = 5,414 × 5,414
4. Step 4: Simplify right side
   4,036.50x = 29,311,396
5. Step 5: Solve for x
   x = 29,311,396/4,036.50
6. Step 6: Final answer
   x = 7,261.59