Finding the Third Proportional to 10,869.75 and 23,816.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,869.75 : 23,816.25 = 23,816.25 : x
2. Step 2: Convert to fraction form
   10,869.75/23,816.25 = 23,816.25/x
3. Step 3: Cross multiply
   10,869.75x = 23,816.25 × 23,816.25
4. Step 4: Simplify right side
   10,869.75x = 567,213,764.06
5. Step 5: Solve for x
   x = 567,213,764.06/10,869.75
6. Step 6: Final answer
   x = 52,182.78