Finding the Third Proportional to 1,645.88 and 2,616.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,645.88 : 2,616.56 = 2,616.56 : x
2. Step 2: Convert to fraction form
   1,645.88/2,616.56 = 2,616.56/x
3. Step 3: Cross multiply
   1,645.88x = 2,616.56 × 2,616.56
4. Step 4: Simplify right side
   1,645.88x = 6,846,399.32
5. Step 5: Solve for x
   x = 6,846,399.32/1,645.88
6. Step 6: Final answer
   x = 4,159.73