Finding the Third Proportional to 1,653.75 and 3,616.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,653.75 : 3,616.31 = 3,616.31 : x
2. Step 2: Convert to fraction form
   1,653.75/3,616.31 = 3,616.31/x
3. Step 3: Cross multiply
   1,653.75x = 3,616.31 × 3,616.31
4. Step 4: Simplify right side
   1,653.75x = 13,077,716.10
5. Step 5: Solve for x
   x = 13,077,716.10/1,653.75
6. Step 6: Final answer
   x = 7,907.92