Finding the Third Proportional to 10,749 and 16,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,749 : 16,186.50 = 16,186.50 : x
2. Step 2: Convert to fraction form
   10,749/16,186.50 = 16,186.50/x
3. Step 3: Cross multiply
   10,749x = 16,186.50 × 16,186.50
4. Step 4: Simplify right side
   10,749x = 262,002,782.25
5. Step 5: Solve for x
   x = 262,002,782.25/10,749
6. Step 6: Final answer
   x = 24,374.62