Finding the Third Proportional to 2,554.88 and 5,398.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,554.88 : 5,398.31 = 5,398.31 : x
2. Step 2: Convert to fraction form
   2,554.88/5,398.31 = 5,398.31/x
3. Step 3: Cross multiply
   2,554.88x = 5,398.31 × 5,398.31
4. Step 4: Simplify right side
   2,554.88x = 29,141,777.85
5. Step 5: Solve for x
   x = 29,141,777.85/2,554.88
6. Step 6: Final answer
   x = 11,406.34