Finding the Third Proportional to 2,410.88 and 3,642.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,410.88 : 3,642.09 = 3,642.09 : x
2. Step 2: Convert to fraction form
   2,410.88/3,642.09 = 3,642.09/x
3. Step 3: Cross multiply
   2,410.88x = 3,642.09 × 3,642.09
4. Step 4: Simplify right side
   2,410.88x = 13,264,846.88
5. Step 5: Solve for x
   x = 13,264,846.88/2,410.88
6. Step 6: Final answer
   x = 5,502.09