Finding the Third Proportional to 100.44 and 135.69

Step by Step Solution

1. Step 1: Write the proportion equation
   100.44 : 135.69 = 135.69 : x
2. Step 2: Convert to fraction form
   100.44/135.69 = 135.69/x
3. Step 3: Cross multiply
   100.44x = 135.69 × 135.69
4. Step 4: Simplify right side
   100.44x = 18,411.10
5. Step 5: Solve for x
   x = 18,411.10/100.44
6. Step 6: Final answer
   x = 183.31