Finding the Third Proportional to 10,883.25 and 23,816.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,883.25 : 23,816.63 = 23,816.63 : x
2. Step 2: Convert to fraction form
   10,883.25/23,816.63 = 23,816.63/x
3. Step 3: Cross multiply
   10,883.25x = 23,816.63 × 23,816.63
4. Step 4: Simplify right side
   10,883.25x = 567,231,626.39
5. Step 5: Solve for x
   x = 567,231,626.39/10,883.25
6. Step 6: Final answer
   x = 52,119.69