Finding the Third Proportional to 17,660 and 37,778

Step by Step Solution

1. Step 1: Write the proportion equation
   17,660 : 37,778 = 37,778 : x
2. Step 2: Convert to fraction form
   17,660/37,778 = 37,778/x
3. Step 3: Cross multiply
   17,660x = 37,778 × 37,778
4. Step 4: Simplify right side
   17,660x = 1,427,177,284
5. Step 5: Solve for x
   x = 1,427,177,284/17,660
6. Step 6: Final answer
   x = 80,814.12