Finding the Third Proportional to 2,499.94 and 5,787.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,499.94 : 5,787.56 = 5,787.56 : x
2. Step 2: Convert to fraction form
   2,499.94/5,787.56 = 5,787.56/x
3. Step 3: Cross multiply
   2,499.94x = 5,787.56 × 5,787.56
4. Step 4: Simplify right side
   2,499.94x = 33,495,879.69
5. Step 5: Solve for x
   x = 33,495,879.69/2,499.94
6. Step 6: Final answer
   x = 13,398.69