Finding the Third Proportional to 5,725.69 and 13,186.55

Step by Step Solution

1. Step 1: Write the proportion equation
   5,725.69 : 13,186.55 = 13,186.55 : x
2. Step 2: Convert to fraction form
   5,725.69/13,186.55 = 13,186.55/x
3. Step 3: Cross multiply
   5,725.69x = 13,186.55 × 13,186.55
4. Step 4: Simplify right side
   5,725.69x = 173,885,018.49
5. Step 5: Solve for x
   x = 173,885,018.49/5,725.69
6. Step 6: Final answer
   x = 30,369.28