Finding the Third Proportional to 2,656.25 and 5,778.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.25 : 5,778.25 = 5,778.25 : x
2. Step 2: Convert to fraction form
   2,656.25/5,778.25 = 5,778.25/x
3. Step 3: Cross multiply
   2,656.25x = 5,778.25 × 5,778.25
4. Step 4: Simplify right side
   2,656.25x = 33,388,173.06
5. Step 5: Solve for x
   x = 33,388,173.06/2,656.25
6. Step 6: Final answer
   x = 12,569.67