Finding the Third Proportional to 3,912 and 5,078.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,912 : 5,078.25 = 5,078.25 : x
2. Step 2: Convert to fraction form
   3,912/5,078.25 = 5,078.25/x
3. Step 3: Cross multiply
   3,912x = 5,078.25 × 5,078.25
4. Step 4: Simplify right side
   3,912x = 25,788,623.06
5. Step 5: Solve for x
   x = 25,788,623.06/3,912
6. Step 6: Final answer
   x = 6,592.18