Finding the Third Proportional to 17,478 and 41,733

Step by Step Solution

1. Step 1: Write the proportion equation
   17,478 : 41,733 = 41,733 : x
2. Step 2: Convert to fraction form
   17,478/41,733 = 41,733/x
3. Step 3: Cross multiply
   17,478x = 41,733 × 41,733
4. Step 4: Simplify right side
   17,478x = 1,741,643,289
5. Step 5: Solve for x
   x = 1,741,643,289/17,478
6. Step 6: Final answer
   x = 99,647.75