Finding the Third Proportional to 10,476 and 16,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,476 : 16,078.50 = 16,078.50 : x
2. Step 2: Convert to fraction form
   10,476/16,078.50 = 16,078.50/x
3. Step 3: Cross multiply
   10,476x = 16,078.50 × 16,078.50
4. Step 4: Simplify right side
   10,476x = 258,518,162.25
5. Step 5: Solve for x
   x = 258,518,162.25/10,476
6. Step 6: Final answer
   x = 24,677.18