Finding the Third Proportional to 101.50 and 111.63

Step by Step Solution

1. Step 1: Write the proportion equation
   101.50 : 111.63 = 111.63 : x
2. Step 2: Convert to fraction form
   101.50/111.63 = 111.63/x
3. Step 3: Cross multiply
   101.50x = 111.63 × 111.63
4. Step 4: Simplify right side
   101.50x = 12,460.14
5. Step 5: Solve for x
   x = 12,460.14/101.50
6. Step 6: Final answer
   x = 122.76