Finding the Third Proportional to 17,643 and 37,686

Step by Step Solution

1. Step 1: Write the proportion equation
   17,643 : 37,686 = 37,686 : x
2. Step 2: Convert to fraction form
   17,643/37,686 = 37,686/x
3. Step 3: Cross multiply
   17,643x = 37,686 × 37,686
4. Step 4: Simplify right side
   17,643x = 1,420,234,596
5. Step 5: Solve for x
   x = 1,420,234,596/17,643
6. Step 6: Final answer
   x = 80,498.48