Finding the Third Proportional to 3,402 and 7,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,402 : 7,411.50 = 7,411.50 : x
2. Step 2: Convert to fraction form
   3,402/7,411.50 = 7,411.50/x
3. Step 3: Cross multiply
   3,402x = 7,411.50 × 7,411.50
4. Step 4: Simplify right side
   3,402x = 54,930,332.25
5. Step 5: Solve for x
   x = 54,930,332.25/3,402
6. Step 6: Final answer
   x = 16,146.48