Finding the Third Proportional to 37,138 and 56,022

Step by Step Solution

1. Step 1: Write the proportion equation
   37,138 : 56,022 = 56,022 : x
2. Step 2: Convert to fraction form
   37,138/56,022 = 56,022/x
3. Step 3: Cross multiply
   37,138x = 56,022 × 56,022
4. Step 4: Simplify right side
   37,138x = 3,138,464,484
5. Step 5: Solve for x
   x = 3,138,464,484/37,138
6. Step 6: Final answer
   x = 84,508.17