Finding the Third Proportional to 4,657.50 and 7,122.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,657.50 : 7,122.38 = 7,122.38 : x
2. Step 2: Convert to fraction form
   4,657.50/7,122.38 = 7,122.38/x
3. Step 3: Cross multiply
   4,657.50x = 7,122.38 × 7,122.38
4. Step 4: Simplify right side
   4,657.50x = 50,728,225.64
5. Step 5: Solve for x
   x = 50,728,225.64/4,657.50
6. Step 6: Final answer
   x = 10,891.73