Finding the Third Proportional to 14,664 and 34,582

Step by Step Solution

1. Step 1: Write the proportion equation
   14,664 : 34,582 = 34,582 : x
2. Step 2: Convert to fraction form
   14,664/34,582 = 34,582/x
3. Step 3: Cross multiply
   14,664x = 34,582 × 34,582
4. Step 4: Simplify right side
   14,664x = 1,195,914,724
5. Step 5: Solve for x
   x = 1,195,914,724/14,664
6. Step 6: Final answer
   x = 81,554.47