Finding the Third Proportional to 3,984 and 7,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,984 : 7,414.50 = 7,414.50 : x
2. Step 2: Convert to fraction form
   3,984/7,414.50 = 7,414.50/x
3. Step 3: Cross multiply
   3,984x = 7,414.50 × 7,414.50
4. Step 4: Simplify right side
   3,984x = 54,974,810.25
5. Step 5: Solve for x
   x = 54,974,810.25/3,984
6. Step 6: Final answer
   x = 13,798.90