Finding the Third Proportional to 7,859.25 and 16,626.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,859.25 : 16,626.38 = 16,626.38 : x
2. Step 2: Convert to fraction form
   7,859.25/16,626.38 = 16,626.38/x
3. Step 3: Cross multiply
   7,859.25x = 16,626.38 × 16,626.38
4. Step 4: Simplify right side
   7,859.25x = 276,436,345.64
5. Step 5: Solve for x
   x = 276,436,345.64/7,859.25
6. Step 6: Final answer
   x = 35,173.37