Finding the Third Proportional to 7,864 and 10,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,864 : 10,686.50 = 10,686.50 : x
2. Step 2: Convert to fraction form
   7,864/10,686.50 = 10,686.50/x
3. Step 3: Cross multiply
   7,864x = 10,686.50 × 10,686.50
4. Step 4: Simplify right side
   7,864x = 114,201,282.25
5. Step 5: Solve for x
   x = 114,201,282.25/7,864
6. Step 6: Final answer
   x = 14,522.03