Finding the Third Proportional to 17,509 and 37,478

Step by Step Solution

1. Step 1: Write the proportion equation
   17,509 : 37,478 = 37,478 : x
2. Step 2: Convert to fraction form
   17,509/37,478 = 37,478/x
3. Step 3: Cross multiply
   17,509x = 37,478 × 37,478
4. Step 4: Simplify right side
   17,509x = 1,404,600,484
5. Step 5: Solve for x
   x = 1,404,600,484/17,509
6. Step 6: Final answer
   x = 80,221.63