Finding the Third Proportional to 54,538 and 83,801

Step by Step Solution

1. Step 1: Write the proportion equation
   54,538 : 83,801 = 83,801 : x
2. Step 2: Convert to fraction form
   54,538/83,801 = 83,801/x
3. Step 3: Cross multiply
   54,538x = 83,801 × 83,801
4. Step 4: Simplify right side
   54,538x = 7,022,607,601
5. Step 5: Solve for x
   x = 7,022,607,601/54,538
6. Step 6: Final answer
   x = 128,765.40