Finding the Third Proportional to 55.47 and 101.09

Step by Step Solution

1. Step 1: Write the proportion equation
   55.47 : 101.09 = 101.09 : x
2. Step 2: Convert to fraction form
   55.47/101.09 = 101.09/x
3. Step 3: Cross multiply
   55.47x = 101.09 × 101.09
4. Step 4: Simplify right side
   55.47x = 10,219.95
5. Step 5: Solve for x
   x = 10,219.95/55.47
6. Step 6: Final answer
   x = 184.25