Finding the Third Proportional to 7,914 and 10,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,914 : 10,561.50 = 10,561.50 : x
2. Step 2: Convert to fraction form
   7,914/10,561.50 = 10,561.50/x
3. Step 3: Cross multiply
   7,914x = 10,561.50 × 10,561.50
4. Step 4: Simplify right side
   7,914x = 111,545,282.25
5. Step 5: Solve for x
   x = 111,545,282.25/7,914
6. Step 6: Final answer
   x = 14,094.68