Finding the Third Proportional to 13.50 and 32.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13.50 : 32.63 = 32.63 : x
2. Step 2: Convert to fraction form
   13.50/32.63 = 32.63/x
3. Step 3: Cross multiply
   13.50x = 32.63 × 32.63
4. Step 4: Simplify right side
   13.50x = 1,064.39
5. Step 5: Solve for x
   x = 1,064.39/13.50
6. Step 6: Final answer
   x = 78.84