Finding the Third Proportional to 22,852 and 34,336

Step by Step Solution

1. Step 1: Write the proportion equation
   22,852 : 34,336 = 34,336 : x
2. Step 2: Convert to fraction form
   22,852/34,336 = 34,336/x
3. Step 3: Cross multiply
   22,852x = 34,336 × 34,336
4. Step 4: Simplify right side
   22,852x = 1,178,960,896
5. Step 5: Solve for x
   x = 1,178,960,896/22,852
6. Step 6: Final answer
   x = 51,591.15