Finding the Third Proportional to 23,778 and 35,802

Step by Step Solution

1. Step 1: Write the proportion equation
   23,778 : 35,802 = 35,802 : x
2. Step 2: Convert to fraction form
   23,778/35,802 = 35,802/x
3. Step 3: Cross multiply
   23,778x = 35,802 × 35,802
4. Step 4: Simplify right side
   23,778x = 1,281,783,204
5. Step 5: Solve for x
   x = 1,281,783,204/23,778
6. Step 6: Final answer
   x = 53,906.27