Finding the Third Proportional to 23,638 and 35,948

Step by Step Solution

1. Step 1: Write the proportion equation
   23,638 : 35,948 = 35,948 : x
2. Step 2: Convert to fraction form
   23,638/35,948 = 35,948/x
3. Step 3: Cross multiply
   23,638x = 35,948 × 35,948
4. Step 4: Simplify right side
   23,638x = 1,292,258,704
5. Step 5: Solve for x
   x = 1,292,258,704/23,638
6. Step 6: Final answer
   x = 54,668.70