Finding the Third Proportional to 6,540 and 10,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,540 : 10,021.50 = 10,021.50 : x
2. Step 2: Convert to fraction form
   6,540/10,021.50 = 10,021.50/x
3. Step 3: Cross multiply
   6,540x = 10,021.50 × 10,021.50
4. Step 4: Simplify right side
   6,540x = 100,430,462.25
5. Step 5: Solve for x
   x = 100,430,462.25/6,540
6. Step 6: Final answer
   x = 15,356.34