Finding the Third Proportional to 5,825.25 and 12,572.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,825.25 : 12,572.25 = 12,572.25 : x
2. Step 2: Convert to fraction form
   5,825.25/12,572.25 = 12,572.25/x
3. Step 3: Cross multiply
   5,825.25x = 12,572.25 × 12,572.25
4. Step 4: Simplify right side
   5,825.25x = 158,061,470.06
5. Step 5: Solve for x
   x = 158,061,470.06/5,825.25
6. Step 6: Final answer
   x = 27,133.85