Finding the Third Proportional to 42.69 and 97.47

Step by Step Solution

1. Step 1: Write the proportion equation
   42.69 : 97.47 = 97.47 : x
2. Step 2: Convert to fraction form
   42.69/97.47 = 97.47/x
3. Step 3: Cross multiply
   42.69x = 97.47 × 97.47
4. Step 4: Simplify right side
   42.69x = 9,500.16
5. Step 5: Solve for x
   x = 9,500.16/42.69
6. Step 6: Final answer
   x = 222.55