Finding the Third Proportional to 7,411.50 and 10,296.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,411.50 : 10,296.56 = 10,296.56 : x
2. Step 2: Convert to fraction form
   7,411.50/10,296.56 = 10,296.56/x
3. Step 3: Cross multiply
   7,411.50x = 10,296.56 × 10,296.56
4. Step 4: Simplify right side
   7,411.50x = 106,019,199.32
5. Step 5: Solve for x
   x = 106,019,199.32/7,411.50
6. Step 6: Final answer
   x = 14,304.69