Finding the Third Proportional to 51,084 and 76,695

Step by Step Solution

1. Step 1: Write the proportion equation
   51,084 : 76,695 = 76,695 : x
2. Step 2: Convert to fraction form
   51,084/76,695 = 76,695/x
3. Step 3: Cross multiply
   51,084x = 76,695 × 76,695
4. Step 4: Simplify right side
   51,084x = 5,882,123,025
5. Step 5: Solve for x
   x = 5,882,123,025/51,084
6. Step 6: Final answer
   x = 115,146.09