Finding the Third Proportional to 2,524.19 and 5,174.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,524.19 : 5,174.25 = 5,174.25 : x
2. Step 2: Convert to fraction form
   2,524.19/5,174.25 = 5,174.25/x
3. Step 3: Cross multiply
   2,524.19x = 5,174.25 × 5,174.25
4. Step 4: Simplify right side
   2,524.19x = 26,772,863.06
5. Step 5: Solve for x
   x = 26,772,863.06/2,524.19
6. Step 6: Final answer
   x = 10,606.53