Finding the Third Proportional to 34,464 and 71,844

Step by Step Solution

1. Step 1: Write the proportion equation
   34,464 : 71,844 = 71,844 : x
2. Step 2: Convert to fraction form
   34,464/71,844 = 71,844/x
3. Step 3: Cross multiply
   34,464x = 71,844 × 71,844
4. Step 4: Simplify right side
   34,464x = 5,161,560,336
5. Step 5: Solve for x
   x = 5,161,560,336/34,464
6. Step 6: Final answer
   x = 149,766.72