Finding the Third Proportional to 2,505.94 and 5,666.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.94 : 5,666.84 = 5,666.84 : x
2. Step 2: Convert to fraction form
   2,505.94/5,666.84 = 5,666.84/x
3. Step 3: Cross multiply
   2,505.94x = 5,666.84 × 5,666.84
4. Step 4: Simplify right side
   2,505.94x = 32,113,029.54
5. Step 5: Solve for x
   x = 32,113,029.54/2,505.94
6. Step 6: Final answer
   x = 12,814.78