Finding the Third Proportional to 10,787 and 23,578

Step by Step Solution

1. Step 1: Write the proportion equation
   10,787 : 23,578 = 23,578 : x
2. Step 2: Convert to fraction form
   10,787/23,578 = 23,578/x
3. Step 3: Cross multiply
   10,787x = 23,578 × 23,578
4. Step 4: Simplify right side
   10,787x = 555,922,084
5. Step 5: Solve for x
   x = 555,922,084/10,787
6. Step 6: Final answer
   x = 51,536.30