Finding the Third Proportional to 5,490 and 10,566

Step by Step Solution

1. Step 1: Write the proportion equation
   5,490 : 10,566 = 10,566 : x
2. Step 2: Convert to fraction form
   5,490/10,566 = 10,566/x
3. Step 3: Cross multiply
   5,490x = 10,566 × 10,566
4. Step 4: Simplify right side
   5,490x = 111,640,356
5. Step 5: Solve for x
   x = 111,640,356/5,490
6. Step 6: Final answer
   x = 20,335.22