Finding the Third Proportional to 10,836.25 and 23,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,836.25 : 23,738.25 = 23,738.25 : x
2. Step 2: Convert to fraction form
   10,836.25/23,738.25 = 23,738.25/x
3. Step 3: Cross multiply
   10,836.25x = 23,738.25 × 23,738.25
4. Step 4: Simplify right side
   10,836.25x = 563,504,513.06
5. Step 5: Solve for x
   x = 563,504,513.06/10,836.25
6. Step 6: Final answer
   x = 52,001.80