Finding the Third Proportional to 34,867 and 71,796

Step by Step Solution

1. Step 1: Write the proportion equation
   34,867 : 71,796 = 71,796 : x
2. Step 2: Convert to fraction form
   34,867/71,796 = 71,796/x
3. Step 3: Cross multiply
   34,867x = 71,796 × 71,796
4. Step 4: Simplify right side
   34,867x = 5,154,665,616
5. Step 5: Solve for x
   x = 5,154,665,616/34,867
6. Step 6: Final answer
   x = 147,837.94