Finding the Third Proportional to 23,778 and 52,038

Step by Step Solution

1. Step 1: Write the proportion equation
   23,778 : 52,038 = 52,038 : x
2. Step 2: Convert to fraction form
   23,778/52,038 = 52,038/x
3. Step 3: Cross multiply
   23,778x = 52,038 × 52,038
4. Step 4: Simplify right side
   23,778x = 2,707,953,444
5. Step 5: Solve for x
   x = 2,707,953,444/23,778
6. Step 6: Final answer
   x = 113,884.83