Finding the Third Proportional to 10,582 and 16,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582 : 16,519.50 = 16,519.50 : x
2. Step 2: Convert to fraction form
   10,582/16,519.50 = 16,519.50/x
3. Step 3: Cross multiply
   10,582x = 16,519.50 × 16,519.50
4. Step 4: Simplify right side
   10,582x = 272,893,880.25
5. Step 5: Solve for x
   x = 272,893,880.25/10,582
6. Step 6: Final answer
   x = 25,788.50