Finding the Third Proportional to 23,723 and 37,022

Step by Step Solution

1. Step 1: Write the proportion equation
   23,723 : 37,022 = 37,022 : x
2. Step 2: Convert to fraction form
   23,723/37,022 = 37,022/x
3. Step 3: Cross multiply
   23,723x = 37,022 × 37,022
4. Step 4: Simplify right side
   23,723x = 1,370,628,484
5. Step 5: Solve for x
   x = 1,370,628,484/23,723
6. Step 6: Final answer
   x = 57,776.36