Finding the Third Proportional to 22,144 and 45,696

Step by Step Solution

1. Step 1: Write the proportion equation
   22,144 : 45,696 = 45,696 : x
2. Step 2: Convert to fraction form
   22,144/45,696 = 45,696/x
3. Step 3: Cross multiply
   22,144x = 45,696 × 45,696
4. Step 4: Simplify right side
   22,144x = 2,088,124,416
5. Step 5: Solve for x
   x = 2,088,124,416/22,144
6. Step 6: Final answer
   x = 94,297.53