Finding the Third Proportional to 25,845 and 41,466

Step by Step Solution

1. Step 1: Write the proportion equation
   25,845 : 41,466 = 41,466 : x
2. Step 2: Convert to fraction form
   25,845/41,466 = 41,466/x
3. Step 3: Cross multiply
   25,845x = 41,466 × 41,466
4. Step 4: Simplify right side
   25,845x = 1,719,429,156
5. Step 5: Solve for x
   x = 1,719,429,156/25,845
6. Step 6: Final answer
   x = 66,528.50