Finding the Third Proportional to 101.81 and 131.06

Step by Step Solution

1. Step 1: Write the proportion equation
   101.81 : 131.06 = 131.06 : x
2. Step 2: Convert to fraction form
   101.81/131.06 = 131.06/x
3. Step 3: Cross multiply
   101.81x = 131.06 × 131.06
4. Step 4: Simplify right side
   101.81x = 17,177.38
5. Step 5: Solve for x
   x = 17,177.38/101.81
6. Step 6: Final answer
   x = 168.72