Finding the Third Proportional to 10,242 and 15,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,242 : 15,661.50 = 15,661.50 : x
2. Step 2: Convert to fraction form
   10,242/15,661.50 = 15,661.50/x
3. Step 3: Cross multiply
   10,242x = 15,661.50 × 15,661.50
4. Step 4: Simplify right side
   10,242x = 245,282,582.25
5. Step 5: Solve for x
   x = 245,282,582.25/10,242
6. Step 6: Final answer
   x = 23,948.70