Finding the Third Proportional to 38.50 and 52.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38.50 : 52.25 = 52.25 : x
2. Step 2: Convert to fraction form
   38.50/52.25 = 52.25/x
3. Step 3: Cross multiply
   38.50x = 52.25 × 52.25
4. Step 4: Simplify right side
   38.50x = 2,730.06
5. Step 5: Solve for x
   x = 2,730.06/38.50
6. Step 6: Final answer
   x = 70.91