Finding the Third Proportional to 10,970 and 17,823

Step by Step Solution

1. Step 1: Write the proportion equation
   10,970 : 17,823 = 17,823 : x
2. Step 2: Convert to fraction form
   10,970/17,823 = 17,823/x
3. Step 3: Cross multiply
   10,970x = 17,823 × 17,823
4. Step 4: Simplify right side
   10,970x = 317,659,329
5. Step 5: Solve for x
   x = 317,659,329/10,970
6. Step 6: Final answer
   x = 28,957.09