Finding the Third Proportional to 31.67 and 53.84

Step by Step Solution

1. Step 1: Write the proportion equation
   31.67 : 53.84 = 53.84 : x
2. Step 2: Convert to fraction form
   31.67/53.84 = 53.84/x
3. Step 3: Cross multiply
   31.67x = 53.84 × 53.84
4. Step 4: Simplify right side
   31.67x = 2,898.82
5. Step 5: Solve for x
   x = 2,898.82/31.67
6. Step 6: Final answer
   x = 91.53