Finding the Third Proportional to 22,782 and 49,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,782 : 49,307.50 = 49,307.50 : x
2. Step 2: Convert to fraction form
   22,782/49,307.50 = 49,307.50/x
3. Step 3: Cross multiply
   22,782x = 49,307.50 × 49,307.50
4. Step 4: Simplify right side
   22,782x = 2,431,229,556.25
5. Step 5: Solve for x
   x = 2,431,229,556.25/22,782
6. Step 6: Final answer
   x = 106,717.13