Finding the Third Proportional to 37,980 and 82,797

Step by Step Solution

1. Step 1: Write the proportion equation
   37,980 : 82,797 = 82,797 : x
2. Step 2: Convert to fraction form
   37,980/82,797 = 82,797/x
3. Step 3: Cross multiply
   37,980x = 82,797 × 82,797
4. Step 4: Simplify right side
   37,980x = 6,855,343,209
5. Step 5: Solve for x
   x = 6,855,343,209/37,980
6. Step 6: Final answer
   x = 180,498.77