Finding the Third Proportional to 23,105 and 35,762

Step by Step Solution

1. Step 1: Write the proportion equation
   23,105 : 35,762 = 35,762 : x
2. Step 2: Convert to fraction form
   23,105/35,762 = 35,762/x
3. Step 3: Cross multiply
   23,105x = 35,762 × 35,762
4. Step 4: Simplify right side
   23,105x = 1,278,920,644
5. Step 5: Solve for x
   x = 1,278,920,644/23,105
6. Step 6: Final answer
   x = 55,352.55