Finding the Third Proportional to 22,782 and 49,308

Step by Step Solution

1. Step 1: Write the proportion equation
   22,782 : 49,308 = 49,308 : x
2. Step 2: Convert to fraction form
   22,782/49,308 = 49,308/x
3. Step 3: Cross multiply
   22,782x = 49,308 × 49,308
4. Step 4: Simplify right side
   22,782x = 2,431,278,864
5. Step 5: Solve for x
   x = 2,431,278,864/22,782
6. Step 6: Final answer
   x = 106,719.29