Finding the Third Proportional to 97.50 and 128.25

Step by Step Solution

1. Step 1: Write the proportion equation
   97.50 : 128.25 = 128.25 : x
2. Step 2: Convert to fraction form
   97.50/128.25 = 128.25/x
3. Step 3: Cross multiply
   97.50x = 128.25 × 128.25
4. Step 4: Simplify right side
   97.50x = 16,448.06
5. Step 5: Solve for x
   x = 16,448.06/97.50
6. Step 6: Final answer
   x = 168.70