Finding the Third Proportional to 23,089.50 and 49,782.38

Step by Step Solution

1. Step 1: Write the proportion equation
   23,089.50 : 49,782.38 = 49,782.38 : x
2. Step 2: Convert to fraction form
   23,089.50/49,782.38 = 49,782.38/x
3. Step 3: Cross multiply
   23,089.50x = 49,782.38 × 49,782.38
4. Step 4: Simplify right side
   23,089.50x = 2,478,284,860.64
5. Step 5: Solve for x
   x = 2,478,284,860.64/23,089.50
6. Step 6: Final answer
   x = 107,333.85