Finding the Third Proportional to 17,478 and 37,872

Step by Step Solution

1. Step 1: Write the proportion equation
   17,478 : 37,872 = 37,872 : x
2. Step 2: Convert to fraction form
   17,478/37,872 = 37,872/x
3. Step 3: Cross multiply
   17,478x = 37,872 × 37,872
4. Step 4: Simplify right side
   17,478x = 1,434,288,384
5. Step 5: Solve for x
   x = 1,434,288,384/17,478
6. Step 6: Final answer
   x = 82,062.50