Finding the Third Proportional to 16,582 and 34,766

Step by Step Solution

1. Step 1: Write the proportion equation
   16,582 : 34,766 = 34,766 : x
2. Step 2: Convert to fraction form
   16,582/34,766 = 34,766/x
3. Step 3: Cross multiply
   16,582x = 34,766 × 34,766
4. Step 4: Simplify right side
   16,582x = 1,208,674,756
5. Step 5: Solve for x
   x = 1,208,674,756/16,582
6. Step 6: Final answer
   x = 72,890.77