Finding the Third Proportional to 17,509 and 37,447

Step by Step Solution

1. Step 1: Write the proportion equation
   17,509 : 37,447 = 37,447 : x
2. Step 2: Convert to fraction form
   17,509/37,447 = 37,447/x
3. Step 3: Cross multiply
   17,509x = 37,447 × 37,447
4. Step 4: Simplify right side
   17,509x = 1,402,277,809
5. Step 5: Solve for x
   x = 1,402,277,809/17,509
6. Step 6: Final answer
   x = 80,088.97