Finding the Third Proportional to 17,797 and 37,789

Step by Step Solution

1. Step 1: Write the proportion equation
   17,797 : 37,789 = 37,789 : x
2. Step 2: Convert to fraction form
   17,797/37,789 = 37,789/x
3. Step 3: Cross multiply
   17,797x = 37,789 × 37,789
4. Step 4: Simplify right side
   17,797x = 1,428,008,521
5. Step 5: Solve for x
   x = 1,428,008,521/17,797
6. Step 6: Final answer
   x = 80,238.72