Finding the Third Proportional to 23,033 and 35,738

Step by Step Solution

1. Step 1: Write the proportion equation
   23,033 : 35,738 = 35,738 : x
2. Step 2: Convert to fraction form
   23,033/35,738 = 35,738/x
3. Step 3: Cross multiply
   23,033x = 35,738 × 35,738
4. Step 4: Simplify right side
   23,033x = 1,277,204,644
5. Step 5: Solve for x
   x = 1,277,204,644/23,033
6. Step 6: Final answer
   x = 55,451.08