Finding the Third Proportional to 2,523.38 and 6,105.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.38 : 6,105.94 = 6,105.94 : x
2. Step 2: Convert to fraction form
   2,523.38/6,105.94 = 6,105.94/x
3. Step 3: Cross multiply
   2,523.38x = 6,105.94 × 6,105.94
4. Step 4: Simplify right side
   2,523.38x = 37,282,472.75
5. Step 5: Solve for x
   x = 37,282,472.75/2,523.38
6. Step 6: Final answer
   x = 14,774.84