Finding the Third Proportional to 14.34 and 34.59

Step by Step Solution

1. Step 1: Write the proportion equation
   14.34 : 34.59 = 34.59 : x
2. Step 2: Convert to fraction form
   14.34/34.59 = 34.59/x
3. Step 3: Cross multiply
   14.34x = 34.59 × 34.59
4. Step 4: Simplify right side
   14.34x = 1,196.73
5. Step 5: Solve for x
   x = 1,196.73/14.34
6. Step 6: Final answer
   x = 83.43