Finding the Third Proportional to 17,788.50 and 37,767

Step by Step Solution

1. Step 1: Write the proportion equation
   17,788.50 : 37,767 = 37,767 : x
2. Step 2: Convert to fraction form
   17,788.50/37,767 = 37,767/x
3. Step 3: Cross multiply
   17,788.50x = 37,767 × 37,767
4. Step 4: Simplify right side
   17,788.50x = 1,426,346,289
5. Step 5: Solve for x
   x = 1,426,346,289/17,788.50
6. Step 6: Final answer
   x = 80,183.62