Finding the Third Proportional to 10,828.69 and 13,706.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828.69 : 13,706.72 = 13,706.72 : x
2. Step 2: Convert to fraction form
   10,828.69/13,706.72 = 13,706.72/x
3. Step 3: Cross multiply
   10,828.69x = 13,706.72 × 13,706.72
4. Step 4: Simplify right side
   10,828.69x = 187,874,138.89
5. Step 5: Solve for x
   x = 187,874,138.89/10,828.69
6. Step 6: Final answer
   x = 17,349.67