Finding the Third Proportional to 2,599 and 5,566

Step by Step Solution

1. Step 1: Write the proportion equation
   2,599 : 5,566 = 5,566 : x
2. Step 2: Convert to fraction form
   2,599/5,566 = 5,566/x
3. Step 3: Cross multiply
   2,599x = 5,566 × 5,566
4. Step 4: Simplify right side
   2,599x = 30,980,356
5. Step 5: Solve for x
   x = 30,980,356/2,599
6. Step 6: Final answer
   x = 11,920.11