Finding the Third Proportional to 17,657 and 37,681

Step by Step Solution

1. Step 1: Write the proportion equation
   17,657 : 37,681 = 37,681 : x
2. Step 2: Convert to fraction form
   17,657/37,681 = 37,681/x
3. Step 3: Cross multiply
   17,657x = 37,681 × 37,681
4. Step 4: Simplify right side
   17,657x = 1,419,857,761
5. Step 5: Solve for x
   x = 1,419,857,761/17,657
6. Step 6: Final answer
   x = 80,413.31