Finding the Third Proportional to 27.80 and 43.69

Step by Step Solution

1. Step 1: Write the proportion equation
   27.80 : 43.69 = 43.69 : x
2. Step 2: Convert to fraction form
   27.80/43.69 = 43.69/x
3. Step 3: Cross multiply
   27.80x = 43.69 × 43.69
4. Step 4: Simplify right side
   27.80x = 1,908.60
5. Step 5: Solve for x
   x = 1,908.60/27.80
6. Step 6: Final answer
   x = 68.66