Finding the Third Proportional to 2,552.25 and 5,264.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.25 : 5,264.25 = 5,264.25 : x
2. Step 2: Convert to fraction form
   2,552.25/5,264.25 = 5,264.25/x
3. Step 3: Cross multiply
   2,552.25x = 5,264.25 × 5,264.25
4. Step 4: Simplify right side
   2,552.25x = 27,712,328.06
5. Step 5: Solve for x
   x = 27,712,328.06/2,552.25
6. Step 6: Final answer
   x = 10,858.00