Finding the Third Proportional to 7,581 and 10,439.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,581 : 10,439.50 = 10,439.50 : x
2. Step 2: Convert to fraction form
   7,581/10,439.50 = 10,439.50/x
3. Step 3: Cross multiply
   7,581x = 10,439.50 × 10,439.50
4. Step 4: Simplify right side
   7,581x = 108,983,160.25
5. Step 5: Solve for x
   x = 108,983,160.25/7,581
6. Step 6: Final answer
   x = 14,375.83