Finding the Third Proportional to 17,766 and 37,638

Step by Step Solution

1. Step 1: Write the proportion equation
   17,766 : 37,638 = 37,638 : x
2. Step 2: Convert to fraction form
   17,766/37,638 = 37,638/x
3. Step 3: Cross multiply
   17,766x = 37,638 × 37,638
4. Step 4: Simplify right side
   17,766x = 1,416,619,044
5. Step 5: Solve for x
   x = 1,416,619,044/17,766
6. Step 6: Final answer
   x = 79,737.65