Finding the Third Proportional to 30.50 and 72.63

Step by Step Solution

1. Step 1: Write the proportion equation
   30.50 : 72.63 = 72.63 : x
2. Step 2: Convert to fraction form
   30.50/72.63 = 72.63/x
3. Step 3: Cross multiply
   30.50x = 72.63 × 72.63
4. Step 4: Simplify right side
   30.50x = 5,274.39
5. Step 5: Solve for x
   x = 5,274.39/30.50
6. Step 6: Final answer
   x = 172.93