Finding the Third Proportional to 3,758.06 and 5,691.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,758.06 : 5,691.94 = 5,691.94 : x
2. Step 2: Convert to fraction form
   3,758.06/5,691.94 = 5,691.94/x
3. Step 3: Cross multiply
   3,758.06x = 5,691.94 × 5,691.94
4. Step 4: Simplify right side
   3,758.06x = 32,398,152.50
5. Step 5: Solve for x
   x = 32,398,152.50/3,758.06
6. Step 6: Final answer
   x = 8,620.97