Finding the Third Proportional to 100.69 and 135.56

Step by Step Solution

1. Step 1: Write the proportion equation
   100.69 : 135.56 = 135.56 : x
2. Step 2: Convert to fraction form
   100.69/135.56 = 135.56/x
3. Step 3: Cross multiply
   100.69x = 135.56 × 135.56
4. Step 4: Simplify right side
   100.69x = 18,377.19
5. Step 5: Solve for x
   x = 18,377.19/100.69
6. Step 6: Final answer
   x = 182.52