Finding the Third Proportional to 1,625.75 and 2,323.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,625.75 : 2,323.25 = 2,323.25 : x
2. Step 2: Convert to fraction form
   1,625.75/2,323.25 = 2,323.25/x
3. Step 3: Cross multiply
   1,625.75x = 2,323.25 × 2,323.25
4. Step 4: Simplify right side
   1,625.75x = 5,397,490.56
5. Step 5: Solve for x
   x = 5,397,490.56/1,625.75
6. Step 6: Final answer
   x = 3,320.00