Finding the Third Proportional to 13.50 and 30.47

Step by Step Solution

1. Step 1: Write the proportion equation
   13.50 : 30.47 = 30.47 : x
2. Step 2: Convert to fraction form
   13.50/30.47 = 30.47/x
3. Step 3: Cross multiply
   13.50x = 30.47 × 30.47
4. Step 4: Simplify right side
   13.50x = 928.34
5. Step 5: Solve for x
   x = 928.34/13.50
6. Step 6: Final answer
   x = 68.77