Finding the Third Proportional to 22,837 and 34,256

Step by Step Solution

1. Step 1: Write the proportion equation
   22,837 : 34,256 = 34,256 : x
2. Step 2: Convert to fraction form
   22,837/34,256 = 34,256/x
3. Step 3: Cross multiply
   22,837x = 34,256 × 34,256
4. Step 4: Simplify right side
   22,837x = 1,173,473,536
5. Step 5: Solve for x
   x = 1,173,473,536/22,837
6. Step 6: Final answer
   x = 51,384.75