Finding the Third Proportional to 5,843.25 and 12,506.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,843.25 : 12,506.16 = 12,506.16 : x
2. Step 2: Convert to fraction form
   5,843.25/12,506.16 = 12,506.16/x
3. Step 3: Cross multiply
   5,843.25x = 12,506.16 × 12,506.16
4. Step 4: Simplify right side
   5,843.25x = 156,403,944.15
5. Step 5: Solve for x
   x = 156,403,944.15/5,843.25
6. Step 6: Final answer
   x = 26,766.60