Finding the Third Proportional to 61.50 and 108.25

Step by Step Solution

1. Step 1: Write the proportion equation
   61.50 : 108.25 = 108.25 : x
2. Step 2: Convert to fraction form
   61.50/108.25 = 108.25/x
3. Step 3: Cross multiply
   61.50x = 108.25 × 108.25
4. Step 4: Simplify right side
   61.50x = 11,718.06
5. Step 5: Solve for x
   x = 11,718.06/61.50
6. Step 6: Final answer
   x = 190.54