Finding the Third Proportional to 2,706.19 and 5,599.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.19 : 5,599.69 = 5,599.69 : x
2. Step 2: Convert to fraction form
   2,706.19/5,599.69 = 5,599.69/x
3. Step 3: Cross multiply
   2,706.19x = 5,599.69 × 5,599.69
4. Step 4: Simplify right side
   2,706.19x = 31,356,500.10
5. Step 5: Solve for x
   x = 31,356,500.10/2,706.19
6. Step 6: Final answer
   x = 11,586.97