Finding the Third Proportional to 1,072.69 and 1,186.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.69 : 1,186.88 = 1,186.88 : x
2. Step 2: Convert to fraction form
   1,072.69/1,186.88 = 1,186.88/x
3. Step 3: Cross multiply
   1,072.69x = 1,186.88 × 1,186.88
4. Step 4: Simplify right side
   1,072.69x = 1,408,672.27
5. Step 5: Solve for x
   x = 1,408,672.27/1,072.69
6. Step 6: Final answer
   x = 1,313.22