Finding the Third Proportional to 22,152 and 34,348

Step by Step Solution

1. Step 1: Write the proportion equation
   22,152 : 34,348 = 34,348 : x
2. Step 2: Convert to fraction form
   22,152/34,348 = 34,348/x
3. Step 3: Cross multiply
   22,152x = 34,348 × 34,348
4. Step 4: Simplify right side
   22,152x = 1,179,785,104
5. Step 5: Solve for x
   x = 1,179,785,104/22,152
6. Step 6: Final answer
   x = 53,258.63