Finding the Third Proportional to 2,551.50 and 4,942.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,551.50 : 4,942.27 = 4,942.27 : x
2. Step 2: Convert to fraction form
   2,551.50/4,942.27 = 4,942.27/x
3. Step 3: Cross multiply
   2,551.50x = 4,942.27 × 4,942.27
4. Step 4: Simplify right side
   2,551.50x = 24,425,989.51
5. Step 5: Solve for x
   x = 24,425,989.51/2,551.50
6. Step 6: Final answer
   x = 9,573.19