Finding the Third Proportional to 55,404 and 82,884

Step by Step Solution

1. Step 1: Write the proportion equation
   55,404 : 82,884 = 82,884 : x
2. Step 2: Convert to fraction form
   55,404/82,884 = 82,884/x
3. Step 3: Cross multiply
   55,404x = 82,884 × 82,884
4. Step 4: Simplify right side
   55,404x = 6,869,757,456
5. Step 5: Solve for x
   x = 6,869,757,456/55,404
6. Step 6: Final answer
   x = 123,993.89