Finding the Third Proportional to 7,141 and 10,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,141 : 10,149.50 = 10,149.50 : x
2. Step 2: Convert to fraction form
   7,141/10,149.50 = 10,149.50/x
3. Step 3: Cross multiply
   7,141x = 10,149.50 × 10,149.50
4. Step 4: Simplify right side
   7,141x = 103,012,350.25
5. Step 5: Solve for x
   x = 103,012,350.25/7,141
6. Step 6: Final answer
   x = 14,425.48