Finding the Third Proportional to 97.69 and 133.78

Step by Step Solution

1. Step 1: Write the proportion equation
   97.69 : 133.78 = 133.78 : x
2. Step 2: Convert to fraction form
   97.69/133.78 = 133.78/x
3. Step 3: Cross multiply
   97.69x = 133.78 × 133.78
4. Step 4: Simplify right side
   97.69x = 17,897.42
5. Step 5: Solve for x
   x = 17,897.42/97.69
6. Step 6: Final answer
   x = 183.21