Finding the Third Proportional to 1,055.88 and 1,625.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.88 : 1,625.25 = 1,625.25 : x
2. Step 2: Convert to fraction form
   1,055.88/1,625.25 = 1,625.25/x
3. Step 3: Cross multiply
   1,055.88x = 1,625.25 × 1,625.25
4. Step 4: Simplify right side
   1,055.88x = 2,641,437.56
5. Step 5: Solve for x
   x = 2,641,437.56/1,055.88
6. Step 6: Final answer
   x = 2,501.66