Finding the Third Proportional to 35,976 and 54,204

Step by Step Solution

1. Step 1: Write the proportion equation
   35,976 : 54,204 = 54,204 : x
2. Step 2: Convert to fraction form
   35,976/54,204 = 54,204/x
3. Step 3: Cross multiply
   35,976x = 54,204 × 54,204
4. Step 4: Simplify right side
   35,976x = 2,938,073,616
5. Step 5: Solve for x
   x = 2,938,073,616/35,976
6. Step 6: Final answer
   x = 81,667.60