Finding the Third Proportional to 14,264 and 34,362

Step by Step Solution

1. Step 1: Write the proportion equation
   14,264 : 34,362 = 34,362 : x
2. Step 2: Convert to fraction form
   14,264/34,362 = 34,362/x
3. Step 3: Cross multiply
   14,264x = 34,362 × 34,362
4. Step 4: Simplify right side
   14,264x = 1,180,747,044
5. Step 5: Solve for x
   x = 1,180,747,044/14,264
6. Step 6: Final answer
   x = 82,778.12