Finding the Third Proportional to 25,876 and 41,038

Step by Step Solution

1. Step 1: Write the proportion equation
   25,876 : 41,038 = 41,038 : x
2. Step 2: Convert to fraction form
   25,876/41,038 = 41,038/x
3. Step 3: Cross multiply
   25,876x = 41,038 × 41,038
4. Step 4: Simplify right side
   25,876x = 1,684,117,444
5. Step 5: Solve for x
   x = 1,684,117,444/25,876
6. Step 6: Final answer
   x = 65,084.15