Finding the Third Proportional to 54,189 and 71,902.69

Step by Step Solution

1. Step 1: Write the proportion equation
   54,189 : 71,902.69 = 71,902.69 : x
2. Step 2: Convert to fraction form
   54,189/71,902.69 = 71,902.69/x
3. Step 3: Cross multiply
   54,189x = 71,902.69 × 71,902.69
4. Step 4: Simplify right side
   54,189x = 5,169,996,469.72
5. Step 5: Solve for x
   x = 5,169,996,469.72/54,189
6. Step 6: Final answer
   x = 95,406.75