Finding the Third Proportional to 10,834 and 17,800

Step by Step Solution

1. Step 1: Write the proportion equation
   10,834 : 17,800 = 17,800 : x
2. Step 2: Convert to fraction form
   10,834/17,800 = 17,800/x
3. Step 3: Cross multiply
   10,834x = 17,800 × 17,800
4. Step 4: Simplify right side
   10,834x = 316,840,000
5. Step 5: Solve for x
   x = 316,840,000/10,834
6. Step 6: Final answer
   x = 29,244.97