Finding the Third Proportional to 31.83 and 86.53

Step by Step Solution

1. Step 1: Write the proportion equation
   31.83 : 86.53 = 86.53 : x
2. Step 2: Convert to fraction form
   31.83/86.53 = 86.53/x
3. Step 3: Cross multiply
   31.83x = 86.53 × 86.53
4. Step 4: Simplify right side
   31.83x = 7,487.66
5. Step 5: Solve for x
   x = 7,487.66/31.83
6. Step 6: Final answer
   x = 235.25