Finding the Third Proportional to 10,585.69 and 16,405.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.69 : 16,405.03 = 16,405.03 : x
2. Step 2: Convert to fraction form
   10,585.69/16,405.03 = 16,405.03/x
3. Step 3: Cross multiply
   10,585.69x = 16,405.03 × 16,405.03
4. Step 4: Simplify right side
   10,585.69x = 269,125,050.31
5. Step 5: Solve for x
   x = 269,125,050.31/10,585.69
6. Step 6: Final answer
   x = 25,423.48