Finding the Third Proportional to 2,814.05 and 3,662.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,814.05 : 3,662.86 = 3,662.86 : x
2. Step 2: Convert to fraction form
   2,814.05/3,662.86 = 3,662.86/x
3. Step 3: Cross multiply
   2,814.05x = 3,662.86 × 3,662.86
4. Step 4: Simplify right side
   2,814.05x = 13,416,538.80
5. Step 5: Solve for x
   x = 13,416,538.80/2,814.05
6. Step 6: Final answer
   x = 4,767.70