Finding the Third Proportional to 10,491 and 14,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491 : 14,488.50 = 14,488.50 : x
2. Step 2: Convert to fraction form
   10,491/14,488.50 = 14,488.50/x
3. Step 3: Cross multiply
   10,491x = 14,488.50 × 14,488.50
4. Step 4: Simplify right side
   10,491x = 209,916,632.25
5. Step 5: Solve for x
   x = 209,916,632.25/10,491
6. Step 6: Final answer
   x = 20,009.21