Finding the Third Proportional to 10,846.13 and 16,405.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,846.13 : 16,405.69 = 16,405.69 : x
2. Step 2: Convert to fraction form
   10,846.13/16,405.69 = 16,405.69/x
3. Step 3: Cross multiply
   10,846.13x = 16,405.69 × 16,405.69
4. Step 4: Simplify right side
   10,846.13x = 269,146,582.35
5. Step 5: Solve for x
   x = 269,146,582.35/10,846.13
6. Step 6: Final answer
   x = 24,815.00