Finding the Third Proportional to 10,821.09 and 16,188.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,821.09 : 16,188.61 = 16,188.61 : x
2. Step 2: Convert to fraction form
   10,821.09/16,188.61 = 16,188.61/x
3. Step 3: Cross multiply
   10,821.09x = 16,188.61 × 16,188.61
4. Step 4: Simplify right side
   10,821.09x = 262,071,073.50
5. Step 5: Solve for x
   x = 262,071,073.50/10,821.09
6. Step 6: Final answer
   x = 24,218.54