Finding the Third Proportional to 14.69 and 35.03

Step by Step Solution

1. Step 1: Write the proportion equation
   14.69 : 35.03 = 35.03 : x
2. Step 2: Convert to fraction form
   14.69/35.03 = 35.03/x
3. Step 3: Cross multiply
   14.69x = 35.03 × 35.03
4. Step 4: Simplify right side
   14.69x = 1,227.19
5. Step 5: Solve for x
   x = 1,227.19/14.69
6. Step 6: Final answer
   x = 83.55