Finding the Third Proportional to 38.25 and 72.63

Step by Step Solution

1. Step 1: Write the proportion equation
   38.25 : 72.63 = 72.63 : x
2. Step 2: Convert to fraction form
   38.25/72.63 = 72.63/x
3. Step 3: Cross multiply
   38.25x = 72.63 × 72.63
4. Step 4: Simplify right side
   38.25x = 5,274.39
5. Step 5: Solve for x
   x = 5,274.39/38.25
6. Step 6: Final answer
   x = 137.89