Finding the Third Proportional to 2,089.50 and 4,950.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.50 : 4,950.38 = 4,950.38 : x
2. Step 2: Convert to fraction form
   2,089.50/4,950.38 = 4,950.38/x
3. Step 3: Cross multiply
   2,089.50x = 4,950.38 × 4,950.38
4. Step 4: Simplify right side
   2,089.50x = 24,506,212.64
5. Step 5: Solve for x
   x = 24,506,212.64/2,089.50
6. Step 6: Final answer
   x = 11,728.27