Finding the Third Proportional to 22,256 and 34,661

Step by Step Solution

1. Step 1: Write the proportion equation
   22,256 : 34,661 = 34,661 : x
2. Step 2: Convert to fraction form
   22,256/34,661 = 34,661/x
3. Step 3: Cross multiply
   22,256x = 34,661 × 34,661
4. Step 4: Simplify right side
   22,256x = 1,201,384,921
5. Step 5: Solve for x
   x = 1,201,384,921/22,256
6. Step 6: Final answer
   x = 53,980.27