Finding the Third Proportional to 6,996 and 10,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,996 : 10,561.50 = 10,561.50 : x
2. Step 2: Convert to fraction form
   6,996/10,561.50 = 10,561.50/x
3. Step 3: Cross multiply
   6,996x = 10,561.50 × 10,561.50
4. Step 4: Simplify right side
   6,996x = 111,545,282.25
5. Step 5: Solve for x
   x = 111,545,282.25/6,996
6. Step 6: Final answer
   x = 15,944.15