Finding the Third Proportional to 22,767 and 34,468

Step by Step Solution

1. Step 1: Write the proportion equation
   22,767 : 34,468 = 34,468 : x
2. Step 2: Convert to fraction form
   22,767/34,468 = 34,468/x
3. Step 3: Cross multiply
   22,767x = 34,468 × 34,468
4. Step 4: Simplify right side
   22,767x = 1,188,043,024
5. Step 5: Solve for x
   x = 1,188,043,024/22,767
6. Step 6: Final answer
   x = 52,182.68