Finding the Third Proportional to 31.78 and 43.59

Step by Step Solution

1. Step 1: Write the proportion equation
   31.78 : 43.59 = 43.59 : x
2. Step 2: Convert to fraction form
   31.78/43.59 = 43.59/x
3. Step 3: Cross multiply
   31.78x = 43.59 × 43.59
4. Step 4: Simplify right side
   31.78x = 1,900.42
5. Step 5: Solve for x
   x = 1,900.42/31.78
6. Step 6: Final answer
   x = 59.80