Finding the Third Proportional to 22,581 and 49,656

Step by Step Solution

1. Step 1: Write the proportion equation
   22,581 : 49,656 = 49,656 : x
2. Step 2: Convert to fraction form
   22,581/49,656 = 49,656/x
3. Step 3: Cross multiply
   22,581x = 49,656 × 49,656
4. Step 4: Simplify right side
   22,581x = 2,465,718,336
5. Step 5: Solve for x
   x = 2,465,718,336/22,581
6. Step 6: Final answer
   x = 109,194.38