Finding the Third Proportional to 10,747.69 and 13,623.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,747.69 : 13,623.19 = 13,623.19 : x
2. Step 2: Convert to fraction form
   10,747.69/13,623.19 = 13,623.19/x
3. Step 3: Cross multiply
   10,747.69x = 13,623.19 × 13,623.19
4. Step 4: Simplify right side
   10,747.69x = 185,591,237.66
5. Step 5: Solve for x
   x = 185,591,237.66/10,747.69
6. Step 6: Final answer
   x = 17,268.02