Finding the Third Proportional to 3,174.38 and 4,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,174.38 : 4,747.50 = 4,747.50 : x
2. Step 2: Convert to fraction form
   3,174.38/4,747.50 = 4,747.50/x
3. Step 3: Cross multiply
   3,174.38x = 4,747.50 × 4,747.50
4. Step 4: Simplify right side
   3,174.38x = 22,538,756.25
5. Step 5: Solve for x
   x = 22,538,756.25/3,174.38
6. Step 6: Final answer
   x = 7,100.22