Finding the Third Proportional to 37.69 and 79.59

Step by Step Solution

1. Step 1: Write the proportion equation
   37.69 : 79.59 = 79.59 : x
2. Step 2: Convert to fraction form
   37.69/79.59 = 79.59/x
3. Step 3: Cross multiply
   37.69x = 79.59 × 79.59
4. Step 4: Simplify right side
   37.69x = 6,335.17
5. Step 5: Solve for x
   x = 6,335.17/37.69
6. Step 6: Final answer
   x = 168.10