Finding the Third Proportional to 17,658 and 37,748

Step by Step Solution

1. Step 1: Write the proportion equation
   17,658 : 37,748 = 37,748 : x
2. Step 2: Convert to fraction form
   17,658/37,748 = 37,748/x
3. Step 3: Cross multiply
   17,658x = 37,748 × 37,748
4. Step 4: Simplify right side
   17,658x = 1,424,911,504
5. Step 5: Solve for x
   x = 1,424,911,504/17,658
6. Step 6: Final answer
   x = 80,694.95