Finding the Third Proportional to 22,856 and 34,342

Step by Step Solution

1. Step 1: Write the proportion equation
   22,856 : 34,342 = 34,342 : x
2. Step 2: Convert to fraction form
   22,856/34,342 = 34,342/x
3. Step 3: Cross multiply
   22,856x = 34,342 × 34,342
4. Step 4: Simplify right side
   22,856x = 1,179,372,964
5. Step 5: Solve for x
   x = 1,179,372,964/22,856
6. Step 6: Final answer
   x = 51,600.15