Finding the Third Proportional to 10,752.75 and 23,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,752.75 : 23,206.50 = 23,206.50 : x
2. Step 2: Convert to fraction form
   10,752.75/23,206.50 = 23,206.50/x
3. Step 3: Cross multiply
   10,752.75x = 23,206.50 × 23,206.50
4. Step 4: Simplify right side
   10,752.75x = 538,541,642.25
5. Step 5: Solve for x
   x = 538,541,642.25/10,752.75
6. Step 6: Final answer
   x = 50,084.08