Finding the Third Proportional to 7,768 and 10,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,768 : 10,216.50 = 10,216.50 : x
2. Step 2: Convert to fraction form
   7,768/10,216.50 = 10,216.50/x
3. Step 3: Cross multiply
   7,768x = 10,216.50 × 10,216.50
4. Step 4: Simplify right side
   7,768x = 104,376,872.25
5. Step 5: Solve for x
   x = 104,376,872.25/7,768
6. Step 6: Final answer
   x = 13,436.78