Finding the Third Proportional to 1,665.75 and 2,616.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.75 : 2,616.38 = 2,616.38 : x
2. Step 2: Convert to fraction form
   1,665.75/2,616.38 = 2,616.38/x
3. Step 3: Cross multiply
   1,665.75x = 2,616.38 × 2,616.38
4. Step 4: Simplify right side
   1,665.75x = 6,845,418.14
5. Step 5: Solve for x
   x = 6,845,418.14/1,665.75
6. Step 6: Final answer
   x = 4,109.51