Finding the Third Proportional to 15,738.75 and 23,759.72

Step by Step Solution

1. Step 1: Write the proportion equation
   15,738.75 : 23,759.72 = 23,759.72 : x
2. Step 2: Convert to fraction form
   15,738.75/23,759.72 = 23,759.72/x
3. Step 3: Cross multiply
   15,738.75x = 23,759.72 × 23,759.72
4. Step 4: Simplify right side
   15,738.75x = 564,524,235.08
5. Step 5: Solve for x
   x = 564,524,235.08/15,738.75
6. Step 6: Final answer
   x = 35,868.43