Finding the Third Proportional to 12,772.69 and 17,638.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,772.69 : 17,638.38 = 17,638.38 : x
2. Step 2: Convert to fraction form
   12,772.69/17,638.38 = 17,638.38/x
3. Step 3: Cross multiply
   12,772.69x = 17,638.38 × 17,638.38
4. Step 4: Simplify right side
   12,772.69x = 311,112,548.24
5. Step 5: Solve for x
   x = 311,112,548.24/12,772.69
6. Step 6: Final answer
   x = 24,357.64