Finding the Third Proportional to 2,625.54 and 3,881.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,625.54 : 3,881.36 = 3,881.36 : x
2. Step 2: Convert to fraction form
   2,625.54/3,881.36 = 3,881.36/x
3. Step 3: Cross multiply
   2,625.54x = 3,881.36 × 3,881.36
4. Step 4: Simplify right side
   2,625.54x = 15,064,920.27
5. Step 5: Solve for x
   x = 15,064,920.27/2,625.54
6. Step 6: Final answer
   x = 5,737.84