Finding the Third Proportional to 25,038 and 50,766

Step by Step Solution

1. Step 1: Write the proportion equation
   25,038 : 50,766 = 50,766 : x
2. Step 2: Convert to fraction form
   25,038/50,766 = 50,766/x
3. Step 3: Cross multiply
   25,038x = 50,766 × 50,766
4. Step 4: Simplify right side
   25,038x = 2,577,186,756
5. Step 5: Solve for x
   x = 2,577,186,756/25,038
6. Step 6: Final answer
   x = 102,931.02