Finding the Third Proportional to 17,641 and 37,708

Step by Step Solution

1. Step 1: Write the proportion equation
   17,641 : 37,708 = 37,708 : x
2. Step 2: Convert to fraction form
   17,641/37,708 = 37,708/x
3. Step 3: Cross multiply
   17,641x = 37,708 × 37,708
4. Step 4: Simplify right side
   17,641x = 1,421,893,264
5. Step 5: Solve for x
   x = 1,421,893,264/17,641
6. Step 6: Final answer
   x = 80,601.62