Finding the Third Proportional to 101.57 and 111.96

Step by Step Solution

1. Step 1: Write the proportion equation
   101.57 : 111.96 = 111.96 : x
2. Step 2: Convert to fraction form
   101.57/111.96 = 111.96/x
3. Step 3: Cross multiply
   101.57x = 111.96 × 111.96
4. Step 4: Simplify right side
   101.57x = 12,533.94
5. Step 5: Solve for x
   x = 12,533.94/101.57
6. Step 6: Final answer
   x = 123.41