Finding the Third Proportional to 22,256 and 31,114

Step by Step Solution

1. Step 1: Write the proportion equation
   22,256 : 31,114 = 31,114 : x
2. Step 2: Convert to fraction form
   22,256/31,114 = 31,114/x
3. Step 3: Cross multiply
   22,256x = 31,114 × 31,114
4. Step 4: Simplify right side
   22,256x = 968,080,996
5. Step 5: Solve for x
   x = 968,080,996/22,256
6. Step 6: Final answer
   x = 43,497.53