Finding the Third Proportional to 5,196.87 and 7,787.29

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.87 : 7,787.29 = 7,787.29 : x
2. Step 2: Convert to fraction form
   5,196.87/7,787.29 = 7,787.29/x
3. Step 3: Cross multiply
   5,196.87x = 7,787.29 × 7,787.29
4. Step 4: Simplify right side
   5,196.87x = 60,641,810.10
5. Step 5: Solve for x
   x = 60,641,810.10/5,196.87
6. Step 6: Final answer
   x = 11,668.92