Finding the Third Proportional to 2,626.78 and 3,881.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,626.78 : 3,881.06 = 3,881.06 : x
2. Step 2: Convert to fraction form
   2,626.78/3,881.06 = 3,881.06/x
3. Step 3: Cross multiply
   2,626.78x = 3,881.06 × 3,881.06
4. Step 4: Simplify right side
   2,626.78x = 15,062,646.13
5. Step 5: Solve for x
   x = 15,062,646.13/2,626.78
6. Step 6: Final answer
   x = 5,734.26