Finding the Third Proportional to 2,625.75 and 3,548.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,625.75 : 3,548.81 = 3,548.81 : x
2. Step 2: Convert to fraction form
   2,625.75/3,548.81 = 3,548.81/x
3. Step 3: Cross multiply
   2,625.75x = 3,548.81 × 3,548.81
4. Step 4: Simplify right side
   2,625.75x = 12,594,070.16
5. Step 5: Solve for x
   x = 12,594,070.16/2,625.75
6. Step 6: Final answer
   x = 4,796.37