Finding the Third Proportional to 51,311 and 76,762

Step by Step Solution

1. Step 1: Write the proportion equation
   51,311 : 76,762 = 76,762 : x
2. Step 2: Convert to fraction form
   51,311/76,762 = 76,762/x
3. Step 3: Cross multiply
   51,311x = 76,762 × 76,762
4. Step 4: Simplify right side
   51,311x = 5,892,404,644
5. Step 5: Solve for x
   x = 5,892,404,644/51,311
6. Step 6: Final answer
   x = 114,837.07