Finding the Third Proportional to 56.64 and 105.05

Step by Step Solution

1. Step 1: Write the proportion equation
   56.64 : 105.05 = 105.05 : x
2. Step 2: Convert to fraction form
   56.64/105.05 = 105.05/x
3. Step 3: Cross multiply
   56.64x = 105.05 × 105.05
4. Step 4: Simplify right side
   56.64x = 11,034.85
5. Step 5: Solve for x
   x = 11,034.85/56.64
6. Step 6: Final answer
   x = 194.84