Finding the Third Proportional to 37,768 and 80,022

Step by Step Solution

1. Step 1: Write the proportion equation
   37,768 : 80,022 = 80,022 : x
2. Step 2: Convert to fraction form
   37,768/80,022 = 80,022/x
3. Step 3: Cross multiply
   37,768x = 80,022 × 80,022
4. Step 4: Simplify right side
   37,768x = 6,403,520,484
5. Step 5: Solve for x
   x = 6,403,520,484/37,768
6. Step 6: Final answer
   x = 169,548.84