Finding the Third Proportional to 25,478 and 33,980

Step by Step Solution

1. Step 1: Write the proportion equation
   25,478 : 33,980 = 33,980 : x
2. Step 2: Convert to fraction form
   25,478/33,980 = 33,980/x
3. Step 3: Cross multiply
   25,478x = 33,980 × 33,980
4. Step 4: Simplify right side
   25,478x = 1,154,640,400
5. Step 5: Solve for x
   x = 1,154,640,400/25,478
6. Step 6: Final answer
   x = 45,319.11