Finding the Third Proportional to 16.13 and 42.47

Step by Step Solution

1. Step 1: Write the proportion equation
   16.13 : 42.47 = 42.47 : x
2. Step 2: Convert to fraction form
   16.13/42.47 = 42.47/x
3. Step 3: Cross multiply
   16.13x = 42.47 × 42.47
4. Step 4: Simplify right side
   16.13x = 1,803.59
5. Step 5: Solve for x
   x = 1,803.59/16.13
6. Step 6: Final answer
   x = 111.85