Finding the Third Proportional to 10,749 and 23,566

Step by Step Solution

1. Step 1: Write the proportion equation
   10,749 : 23,566 = 23,566 : x
2. Step 2: Convert to fraction form
   10,749/23,566 = 23,566/x
3. Step 3: Cross multiply
   10,749x = 23,566 × 23,566
4. Step 4: Simplify right side
   10,749x = 555,356,356
5. Step 5: Solve for x
   x = 555,356,356/10,749
6. Step 6: Final answer
   x = 51,665.86