Finding the Third Proportional to 31.73 and 69.48

Step by Step Solution

1. Step 1: Write the proportion equation
   31.73 : 69.48 = 69.48 : x
2. Step 2: Convert to fraction form
   31.73/69.48 = 69.48/x
3. Step 3: Cross multiply
   31.73x = 69.48 × 69.48
4. Step 4: Simplify right side
   31.73x = 4,827.23
5. Step 5: Solve for x
   x = 4,827.23/31.73
6. Step 6: Final answer
   x = 152.12