Finding the Third Proportional to 31.69 and 85.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31.69 : 85.50 = 85.50 : x
2. Step 2: Convert to fraction form
   31.69/85.50 = 85.50/x
3. Step 3: Cross multiply
   31.69x = 85.50 × 85.50
4. Step 4: Simplify right side
   31.69x = 7,310.25
5. Step 5: Solve for x
   x = 7,310.25/31.69
6. Step 6: Final answer
   x = 230.70