Finding the Third Proportional to 55.83 and 100.27

Step by Step Solution

1. Step 1: Write the proportion equation
   55.83 : 100.27 = 100.27 : x
2. Step 2: Convert to fraction form
   55.83/100.27 = 100.27/x
3. Step 3: Cross multiply
   55.83x = 100.27 × 100.27
4. Step 4: Simplify right side
   55.83x = 10,053.20
5. Step 5: Solve for x
   x = 10,053.20/55.83
6. Step 6: Final answer
   x = 180.07