Finding the Third Proportional to 33.61 and 51.69

Step by Step Solution

1. Step 1: Write the proportion equation
   33.61 : 51.69 = 51.69 : x
2. Step 2: Convert to fraction form
   33.61/51.69 = 51.69/x
3. Step 3: Cross multiply
   33.61x = 51.69 × 51.69
4. Step 4: Simplify right side
   33.61x = 2,671.60
5. Step 5: Solve for x
   x = 2,671.60/33.61
6. Step 6: Final answer
   x = 79.49