Finding the Third Proportional to 2,895.38 and 5,646.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,895.38 : 5,646.75 = 5,646.75 : x
2. Step 2: Convert to fraction form
   2,895.38/5,646.75 = 5,646.75/x
3. Step 3: Cross multiply
   2,895.38x = 5,646.75 × 5,646.75
4. Step 4: Simplify right side
   2,895.38x = 31,885,785.56
5. Step 5: Solve for x
   x = 31,885,785.56/2,895.38
6. Step 6: Final answer
   x = 11,012.66