Finding the Third Proportional to 47.50 and 65.38

Step by Step Solution

1. Step 1: Write the proportion equation
   47.50 : 65.38 = 65.38 : x
2. Step 2: Convert to fraction form
   47.50/65.38 = 65.38/x
3. Step 3: Cross multiply
   47.50x = 65.38 × 65.38
4. Step 4: Simplify right side
   47.50x = 4,273.89
5. Step 5: Solve for x
   x = 4,273.89/47.50
6. Step 6: Final answer
   x = 89.98