Finding the Third Proportional to 55.53 and 101.22

Step by Step Solution

1. Step 1: Write the proportion equation
   55.53 : 101.22 = 101.22 : x
2. Step 2: Convert to fraction form
   55.53/101.22 = 101.22/x
3. Step 3: Cross multiply
   55.53x = 101.22 × 101.22
4. Step 4: Simplify right side
   55.53x = 10,245.24
5. Step 5: Solve for x
   x = 10,245.24/55.53
6. Step 6: Final answer
   x = 184.49