Finding the Third Proportional to 31.89 and 68.03

Step by Step Solution

1. Step 1: Write the proportion equation
   31.89 : 68.03 = 68.03 : x
2. Step 2: Convert to fraction form
   31.89/68.03 = 68.03/x
3. Step 3: Cross multiply
   31.89x = 68.03 × 68.03
4. Step 4: Simplify right side
   31.89x = 4,627.72
5. Step 5: Solve for x
   x = 4,627.72/31.89
6. Step 6: Final answer
   x = 145.13