Finding the Third Proportional to 7,861 and 10,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,861 : 10,681.50 = 10,681.50 : x
2. Step 2: Convert to fraction form
   7,861/10,681.50 = 10,681.50/x
3. Step 3: Cross multiply
   7,861x = 10,681.50 × 10,681.50
4. Step 4: Simplify right side
   7,861x = 114,094,442.25
5. Step 5: Solve for x
   x = 114,094,442.25/7,861
6. Step 6: Final answer
   x = 14,513.99