Finding the Third Proportional to 97.97 and 146.72

Step by Step Solution

1. Step 1: Write the proportion equation
   97.97 : 146.72 = 146.72 : x
2. Step 2: Convert to fraction form
   97.97/146.72 = 146.72/x
3. Step 3: Cross multiply
   97.97x = 146.72 × 146.72
4. Step 4: Simplify right side
   97.97x = 21,526.39
5. Step 5: Solve for x
   x = 21,526.39/97.97
6. Step 6: Final answer
   x = 219.73