Finding the Third Proportional to 3,942.50 and 5,886.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,942.50 : 5,886.75 = 5,886.75 : x
2. Step 2: Convert to fraction form
   3,942.50/5,886.75 = 5,886.75/x
3. Step 3: Cross multiply
   3,942.50x = 5,886.75 × 5,886.75
4. Step 4: Simplify right side
   3,942.50x = 34,653,825.56
5. Step 5: Solve for x
   x = 34,653,825.56/3,942.50
6. Step 6: Final answer
   x = 8,789.81