Finding the Third Proportional to 3,844 and 5,876.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,844 : 5,876.25 = 5,876.25 : x
2. Step 2: Convert to fraction form
   3,844/5,876.25 = 5,876.25/x
3. Step 3: Cross multiply
   3,844x = 5,876.25 × 5,876.25
4. Step 4: Simplify right side
   3,844x = 34,530,314.06
5. Step 5: Solve for x
   x = 34,530,314.06/3,844
6. Step 6: Final answer
   x = 8,982.91