Finding the Third Proportional to 6,615 and 10,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,615 : 10,233.50 = 10,233.50 : x
2. Step 2: Convert to fraction form
   6,615/10,233.50 = 10,233.50/x
3. Step 3: Cross multiply
   6,615x = 10,233.50 × 10,233.50
4. Step 4: Simplify right side
   6,615x = 104,724,522.25
5. Step 5: Solve for x
   x = 104,724,522.25/6,615
6. Step 6: Final answer
   x = 15,831.37