Finding the Third Proportional to 2,509.88 and 5,407.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.88 : 5,407.88 = 5,407.88 : x
2. Step 2: Convert to fraction form
   2,509.88/5,407.88 = 5,407.88/x
3. Step 3: Cross multiply
   2,509.88x = 5,407.88 × 5,407.88
4. Step 4: Simplify right side
   2,509.88x = 29,245,112.02
5. Step 5: Solve for x
   x = 29,245,112.02/2,509.88
6. Step 6: Final answer
   x = 11,652.02