Finding the Third Proportional to 61.25 and 80.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61.25 : 80.50 = 80.50 : x
2. Step 2: Convert to fraction form
   61.25/80.50 = 80.50/x
3. Step 3: Cross multiply
   61.25x = 80.50 × 80.50
4. Step 4: Simplify right side
   61.25x = 6,480.25
5. Step 5: Solve for x
   x = 6,480.25/61.25
6. Step 6: Final answer
   x = 105.80