Finding the Third Proportional to 50,034 and 76,083

Step by Step Solution

1. Step 1: Write the proportion equation
   50,034 : 76,083 = 76,083 : x
2. Step 2: Convert to fraction form
   50,034/76,083 = 76,083/x
3. Step 3: Cross multiply
   50,034x = 76,083 × 76,083
4. Step 4: Simplify right side
   50,034x = 5,788,622,889
5. Step 5: Solve for x
   x = 5,788,622,889/50,034
6. Step 6: Final answer
   x = 115,693.79