Finding the Third Proportional to 64.13 and 111.69

Step by Step Solution

1. Step 1: Write the proportion equation
   64.13 : 111.69 = 111.69 : x
2. Step 2: Convert to fraction form
   64.13/111.69 = 111.69/x
3. Step 3: Cross multiply
   64.13x = 111.69 × 111.69
4. Step 4: Simplify right side
   64.13x = 12,474.10
5. Step 5: Solve for x
   x = 12,474.10/64.13
6. Step 6: Final answer
   x = 194.53