Finding the Third Proportional to 31.50 and 76.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31.50 : 76.50 = 76.50 : x
2. Step 2: Convert to fraction form
   31.50/76.50 = 76.50/x
3. Step 3: Cross multiply
   31.50x = 76.50 × 76.50
4. Step 4: Simplify right side
   31.50x = 5,852.25
5. Step 5: Solve for x
   x = 5,852.25/31.50
6. Step 6: Final answer
   x = 185.79