Finding the Third Proportional to 9,588.38 and 13,764.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,588.38 : 13,764.94 = 13,764.94 : x
2. Step 2: Convert to fraction form
   9,588.38/13,764.94 = 13,764.94/x
3. Step 3: Cross multiply
   9,588.38x = 13,764.94 × 13,764.94
4. Step 4: Simplify right side
   9,588.38x = 189,473,504.38
5. Step 5: Solve for x
   x = 189,473,504.38/9,588.38
6. Step 6: Final answer
   x = 19,760.75