Finding the Third Proportional to 50,584 and 76,076

Step by Step Solution

1. Step 1: Write the proportion equation
   50,584 : 76,076 = 76,076 : x
2. Step 2: Convert to fraction form
   50,584/76,076 = 76,076/x
3. Step 3: Cross multiply
   50,584x = 76,076 × 76,076
4. Step 4: Simplify right side
   50,584x = 5,787,557,776
5. Step 5: Solve for x
   x = 5,787,557,776/50,584
6. Step 6: Final answer
   x = 114,414.79