Finding the Third Proportional to 23,665 and 51,934

Step by Step Solution

1. Step 1: Write the proportion equation
   23,665 : 51,934 = 51,934 : x
2. Step 2: Convert to fraction form
   23,665/51,934 = 51,934/x
3. Step 3: Cross multiply
   23,665x = 51,934 × 51,934
4. Step 4: Simplify right side
   23,665x = 2,697,140,356
5. Step 5: Solve for x
   x = 2,697,140,356/23,665
6. Step 6: Final answer
   x = 113,971.70