Finding the Third Proportional to 34,049 and 52,844

Step by Step Solution

1. Step 1: Write the proportion equation
   34,049 : 52,844 = 52,844 : x
2. Step 2: Convert to fraction form
   34,049/52,844 = 52,844/x
3. Step 3: Cross multiply
   34,049x = 52,844 × 52,844
4. Step 4: Simplify right side
   34,049x = 2,792,488,336
5. Step 5: Solve for x
   x = 2,792,488,336/34,049
6. Step 6: Final answer
   x = 82,013.81