Finding the Third Proportional to 6,949 and 10,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,949 : 10,411.50 = 10,411.50 : x
2. Step 2: Convert to fraction form
   6,949/10,411.50 = 10,411.50/x
3. Step 3: Cross multiply
   6,949x = 10,411.50 × 10,411.50
4. Step 4: Simplify right side
   6,949x = 108,399,332.25
5. Step 5: Solve for x
   x = 108,399,332.25/6,949
6. Step 6: Final answer
   x = 15,599.27