Finding the Third Proportional to 51,984 and 81,012

Step by Step Solution

1. Step 1: Write the proportion equation
   51,984 : 81,012 = 81,012 : x
2. Step 2: Convert to fraction form
   51,984/81,012 = 81,012/x
3. Step 3: Cross multiply
   51,984x = 81,012 × 81,012
4. Step 4: Simplify right side
   51,984x = 6,562,944,144
5. Step 5: Solve for x
   x = 6,562,944,144/51,984
6. Step 6: Final answer
   x = 126,249.31