Finding the Third Proportional to 24,313.50 and 27,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,313.50 : 27,661.50 = 27,661.50 : x
2. Step 2: Convert to fraction form
   24,313.50/27,661.50 = 27,661.50/x
3. Step 3: Cross multiply
   24,313.50x = 27,661.50 × 27,661.50
4. Step 4: Simplify right side
   24,313.50x = 765,158,582.25
5. Step 5: Solve for x
   x = 765,158,582.25/24,313.50
6. Step 6: Final answer
   x = 31,470.52