Finding the Third Proportional to 38,974 and 57,003

Step by Step Solution

1. Step 1: Write the proportion equation
   38,974 : 57,003 = 57,003 : x
2. Step 2: Convert to fraction form
   38,974/57,003 = 57,003/x
3. Step 3: Cross multiply
   38,974x = 57,003 × 57,003
4. Step 4: Simplify right side
   38,974x = 3,249,342,009
5. Step 5: Solve for x
   x = 3,249,342,009/38,974
6. Step 6: Final answer
   x = 83,372.04