Finding the Third Proportional to 7,681.50 and 12,561.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,681.50 : 12,561.75 = 12,561.75 : x
2. Step 2: Convert to fraction form
   7,681.50/12,561.75 = 12,561.75/x
3. Step 3: Cross multiply
   7,681.50x = 12,561.75 × 12,561.75
4. Step 4: Simplify right side
   7,681.50x = 157,797,563.06
5. Step 5: Solve for x
   x = 157,797,563.06/7,681.50
6. Step 6: Final answer
   x = 20,542.55