Finding the Third Proportional to 51,398 and 76,886

Step by Step Solution

1. Step 1: Write the proportion equation
   51,398 : 76,886 = 76,886 : x
2. Step 2: Convert to fraction form
   51,398/76,886 = 76,886/x
3. Step 3: Cross multiply
   51,398x = 76,886 × 76,886
4. Step 4: Simplify right side
   51,398x = 5,911,456,996
5. Step 5: Solve for x
   x = 5,911,456,996/51,398
6. Step 6: Final answer
   x = 115,013.37