Finding the Third Proportional to 37,776 and 80,039

Step by Step Solution

1. Step 1: Write the proportion equation
   37,776 : 80,039 = 80,039 : x
2. Step 2: Convert to fraction form
   37,776/80,039 = 80,039/x
3. Step 3: Cross multiply
   37,776x = 80,039 × 80,039
4. Step 4: Simplify right side
   37,776x = 6,406,241,521
5. Step 5: Solve for x
   x = 6,406,241,521/37,776
6. Step 6: Final answer
   x = 169,584.96