Finding the Third Proportional to 10,863.75 and 23,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,863.75 : 23,839.50 = 23,839.50 : x
2. Step 2: Convert to fraction form
   10,863.75/23,839.50 = 23,839.50/x
3. Step 3: Cross multiply
   10,863.75x = 23,839.50 × 23,839.50
4. Step 4: Simplify right side
   10,863.75x = 568,321,760.25
5. Step 5: Solve for x
   x = 568,321,760.25/10,863.75
6. Step 6: Final answer
   x = 52,313.59