Finding the Third Proportional to 91.69 and 137.81

Step by Step Solution

1. Step 1: Write the proportion equation
   91.69 : 137.81 = 137.81 : x
2. Step 2: Convert to fraction form
   91.69/137.81 = 137.81/x
3. Step 3: Cross multiply
   91.69x = 137.81 × 137.81
4. Step 4: Simplify right side
   91.69x = 18,992.29
5. Step 5: Solve for x
   x = 18,992.29/91.69
6. Step 6: Final answer
   x = 207.14