Finding the Third Proportional to 25,216 and 41,880

Step by Step Solution

1. Step 1: Write the proportion equation
   25,216 : 41,880 = 41,880 : x
2. Step 2: Convert to fraction form
   25,216/41,880 = 41,880/x
3. Step 3: Cross multiply
   25,216x = 41,880 × 41,880
4. Step 4: Simplify right side
   25,216x = 1,753,934,400
5. Step 5: Solve for x
   x = 1,753,934,400/25,216
6. Step 6: Final answer
   x = 69,556.41