Finding the Third Proportional to 3,876.61 and 5,805.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,876.61 : 5,805.42 = 5,805.42 : x
2. Step 2: Convert to fraction form
   3,876.61/5,805.42 = 5,805.42/x
3. Step 3: Cross multiply
   3,876.61x = 5,805.42 × 5,805.42
4. Step 4: Simplify right side
   3,876.61x = 33,702,923.15
5. Step 5: Solve for x
   x = 33,702,923.15/3,876.61
6. Step 6: Final answer
   x = 8,693.92