Finding the Third Proportional to 37,022 and 55,101

Step by Step Solution

1. Step 1: Write the proportion equation
   37,022 : 55,101 = 55,101 : x
2. Step 2: Convert to fraction form
   37,022/55,101 = 55,101/x
3. Step 3: Cross multiply
   37,022x = 55,101 × 55,101
4. Step 4: Simplify right side
   37,022x = 3,036,120,201
5. Step 5: Solve for x
   x = 3,036,120,201/37,022
6. Step 6: Final answer
   x = 82,008.54