Finding the Third Proportional to 34,684 and 75,976

Step by Step Solution

1. Step 1: Write the proportion equation
   34,684 : 75,976 = 75,976 : x
2. Step 2: Convert to fraction form
   34,684/75,976 = 75,976/x
3. Step 3: Cross multiply
   34,684x = 75,976 × 75,976
4. Step 4: Simplify right side
   34,684x = 5,772,352,576
5. Step 5: Solve for x
   x = 5,772,352,576/34,684
6. Step 6: Final answer
   x = 166,426.96