Finding the Third Proportional to 37,785 and 83,022

Step by Step Solution

1. Step 1: Write the proportion equation
   37,785 : 83,022 = 83,022 : x
2. Step 2: Convert to fraction form
   37,785/83,022 = 83,022/x
3. Step 3: Cross multiply
   37,785x = 83,022 × 83,022
4. Step 4: Simplify right side
   37,785x = 6,892,652,484
5. Step 5: Solve for x
   x = 6,892,652,484/37,785
6. Step 6: Final answer
   x = 182,417.69