Finding the Third Proportional to 25,847 and 41,470

Step by Step Solution

1. Step 1: Write the proportion equation
   25,847 : 41,470 = 41,470 : x
2. Step 2: Convert to fraction form
   25,847/41,470 = 41,470/x
3. Step 3: Cross multiply
   25,847x = 41,470 × 41,470
4. Step 4: Simplify right side
   25,847x = 1,719,760,900
5. Step 5: Solve for x
   x = 1,719,760,900/25,847
6. Step 6: Final answer
   x = 66,536.19