Finding the Third Proportional to 29.69 and 40.03

Step by Step Solution

1. Step 1: Write the proportion equation
   29.69 : 40.03 = 40.03 : x
2. Step 2: Convert to fraction form
   29.69/40.03 = 40.03/x
3. Step 3: Cross multiply
   29.69x = 40.03 × 40.03
4. Step 4: Simplify right side
   29.69x = 1,602.50
5. Step 5: Solve for x
   x = 1,602.50/29.69
6. Step 6: Final answer
   x = 53.98