Finding the Third Proportional to 2,502.98 and 5,157.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,502.98 : 5,157.84 = 5,157.84 : x
2. Step 2: Convert to fraction form
   2,502.98/5,157.84 = 5,157.84/x
3. Step 3: Cross multiply
   2,502.98x = 5,157.84 × 5,157.84
4. Step 4: Simplify right side
   2,502.98x = 26,603,352.15
5. Step 5: Solve for x
   x = 26,603,352.15/2,502.98
6. Step 6: Final answer
   x = 10,628.65