Finding the Third Proportional to 38,221 and 83,974

Step by Step Solution

1. Step 1: Write the proportion equation
   38,221 : 83,974 = 83,974 : x
2. Step 2: Convert to fraction form
   38,221/83,974 = 83,974/x
3. Step 3: Cross multiply
   38,221x = 83,974 × 83,974
4. Step 4: Simplify right side
   38,221x = 7,051,632,676
5. Step 5: Solve for x
   x = 7,051,632,676/38,221
6. Step 6: Final answer
   x = 184,496.29