Finding the Third Proportional to 2,174.50 and 4,703.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,174.50 : 4,703.50 = 4,703.50 : x
2. Step 2: Convert to fraction form
   2,174.50/4,703.50 = 4,703.50/x
3. Step 3: Cross multiply
   2,174.50x = 4,703.50 × 4,703.50
4. Step 4: Simplify right side
   2,174.50x = 22,122,912.25
5. Step 5: Solve for x
   x = 22,122,912.25/2,174.50
6. Step 6: Final answer
   x = 10,173.79