Finding the Third Proportional to 3,614 and 7,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,614 : 7,469.50 = 7,469.50 : x
2. Step 2: Convert to fraction form
   3,614/7,469.50 = 7,469.50/x
3. Step 3: Cross multiply
   3,614x = 7,469.50 × 7,469.50
4. Step 4: Simplify right side
   3,614x = 55,793,430.25
5. Step 5: Solve for x
   x = 55,793,430.25/3,614
6. Step 6: Final answer
   x = 15,438.14