Finding the Third Proportional to 2,577.75 and 5,153.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.75 : 5,153.25 = 5,153.25 : x
2. Step 2: Convert to fraction form
   2,577.75/5,153.25 = 5,153.25/x
3. Step 3: Cross multiply
   2,577.75x = 5,153.25 × 5,153.25
4. Step 4: Simplify right side
   2,577.75x = 26,555,985.56
5. Step 5: Solve for x
   x = 26,555,985.56/2,577.75
6. Step 6: Final answer
   x = 10,302.00