Finding the Third Proportional to 37,974 and 83,223

Step by Step Solution

1. Step 1: Write the proportion equation
   37,974 : 83,223 = 83,223 : x
2. Step 2: Convert to fraction form
   37,974/83,223 = 83,223/x
3. Step 3: Cross multiply
   37,974x = 83,223 × 83,223
4. Step 4: Simplify right side
   37,974x = 6,926,067,729
5. Step 5: Solve for x
   x = 6,926,067,729/37,974
6. Step 6: Final answer
   x = 182,389.73