Finding the Third Proportional to 10,730.81 and 16,416.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,730.81 : 16,416.42 = 16,416.42 : x
2. Step 2: Convert to fraction form
   10,730.81/16,416.42 = 16,416.42/x
3. Step 3: Cross multiply
   10,730.81x = 16,416.42 × 16,416.42
4. Step 4: Simplify right side
   10,730.81x = 269,498,907.18
5. Step 5: Solve for x
   x = 269,498,907.18/10,730.81
6. Step 6: Final answer
   x = 25,114.49