Finding the Third Proportional to 5,748.25 and 12,572.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,748.25 : 12,572.75 = 12,572.75 : x
2. Step 2: Convert to fraction form
   5,748.25/12,572.75 = 12,572.75/x
3. Step 3: Cross multiply
   5,748.25x = 12,572.75 × 12,572.75
4. Step 4: Simplify right side
   5,748.25x = 158,074,042.56
5. Step 5: Solve for x
   x = 158,074,042.56/5,748.25
6. Step 6: Final answer
   x = 27,499.51