Finding the Third Proportional to 6,520.50 and 10,023.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,520.50 : 10,023.75 = 10,023.75 : x
2. Step 2: Convert to fraction form
   6,520.50/10,023.75 = 10,023.75/x
3. Step 3: Cross multiply
   6,520.50x = 10,023.75 × 10,023.75
4. Step 4: Simplify right side
   6,520.50x = 100,475,564.06
5. Step 5: Solve for x
   x = 100,475,564.06/6,520.50
6. Step 6: Final answer
   x = 15,409.18