Finding the Third Proportional to 2,505.56 and 4,093.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.56 : 4,093.69 = 4,093.69 : x
2. Step 2: Convert to fraction form
   2,505.56/4,093.69 = 4,093.69/x
3. Step 3: Cross multiply
   2,505.56x = 4,093.69 × 4,093.69
4. Step 4: Simplify right side
   2,505.56x = 16,758,277.35
5. Step 5: Solve for x
   x = 16,758,277.35/2,505.56
6. Step 6: Final answer
   x = 6,688.43