Finding the Third Proportional to 9,694.69 and 13,633.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,694.69 : 13,633.31 = 13,633.31 : x
2. Step 2: Convert to fraction form
   9,694.69/13,633.31 = 13,633.31/x
3. Step 3: Cross multiply
   9,694.69x = 13,633.31 × 13,633.31
4. Step 4: Simplify right side
   9,694.69x = 185,867,209.72
5. Step 5: Solve for x
   x = 185,867,209.72/9,694.69
6. Step 6: Final answer
   x = 19,172.07