Finding the Third Proportional to 55.22 and 101.69

Step by Step Solution

1. Step 1: Write the proportion equation
   55.22 : 101.69 = 101.69 : x
2. Step 2: Convert to fraction form
   55.22/101.69 = 101.69/x
3. Step 3: Cross multiply
   55.22x = 101.69 × 101.69
4. Step 4: Simplify right side
   55.22x = 10,340.35
5. Step 5: Solve for x
   x = 10,340.35/55.22
6. Step 6: Final answer
   x = 187.26