Finding the Third Proportional to 2,706.12 and 5,624.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.12 : 5,624.86 = 5,624.86 : x
2. Step 2: Convert to fraction form
   2,706.12/5,624.86 = 5,624.86/x
3. Step 3: Cross multiply
   2,706.12x = 5,624.86 × 5,624.86
4. Step 4: Simplify right side
   2,706.12x = 31,639,042.99
5. Step 5: Solve for x
   x = 31,639,042.99/2,706.12
6. Step 6: Final answer
   x = 11,691.68