Finding the Third Proportional to 22,636 and 49,784

Step by Step Solution

1. Step 1: Write the proportion equation
   22,636 : 49,784 = 49,784 : x
2. Step 2: Convert to fraction form
   22,636/49,784 = 49,784/x
3. Step 3: Cross multiply
   22,636x = 49,784 × 49,784
4. Step 4: Simplify right side
   22,636x = 2,478,446,656
5. Step 5: Solve for x
   x = 2,478,446,656/22,636
6. Step 6: Final answer
   x = 109,491.37