Finding the Third Proportional to 51,404 and 76,892

Step by Step Solution

1. Step 1: Write the proportion equation
   51,404 : 76,892 = 76,892 : x
2. Step 2: Convert to fraction form
   51,404/76,892 = 76,892/x
3. Step 3: Cross multiply
   51,404x = 76,892 × 76,892
4. Step 4: Simplify right side
   51,404x = 5,912,379,664
5. Step 5: Solve for x
   x = 5,912,379,664/51,404
6. Step 6: Final answer
   x = 115,017.89