Finding the Third Proportional to 22,256 and 34,365

Step by Step Solution

1. Step 1: Write the proportion equation
   22,256 : 34,365 = 34,365 : x
2. Step 2: Convert to fraction form
   22,256/34,365 = 34,365/x
3. Step 3: Cross multiply
   22,256x = 34,365 × 34,365
4. Step 4: Simplify right side
   22,256x = 1,180,953,225
5. Step 5: Solve for x
   x = 1,180,953,225/22,256
6. Step 6: Final answer
   x = 53,062.24