Finding the Third Proportional to 2,738.25 and 5,887.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.25 : 5,887.13 = 5,887.13 : x
2. Step 2: Convert to fraction form
   2,738.25/5,887.13 = 5,887.13/x
3. Step 3: Cross multiply
   2,738.25x = 5,887.13 × 5,887.13
4. Step 4: Simplify right side
   2,738.25x = 34,658,240.77
5. Step 5: Solve for x
   x = 34,658,240.77/2,738.25
6. Step 6: Final answer
   x = 12,657.08