Finding the Third Proportional to 30,294 and 71,844

Step by Step Solution

1. Step 1: Write the proportion equation
   30,294 : 71,844 = 71,844 : x
2. Step 2: Convert to fraction form
   30,294/71,844 = 71,844/x
3. Step 3: Cross multiply
   30,294x = 71,844 × 71,844
4. Step 4: Simplify right side
   30,294x = 5,161,560,336
5. Step 5: Solve for x
   x = 5,161,560,336/30,294
6. Step 6: Final answer
   x = 170,382.27