Finding the Third Proportional to 10,730.25 and 16,614.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,730.25 : 16,614.56 = 16,614.56 : x
2. Step 2: Convert to fraction form
   10,730.25/16,614.56 = 16,614.56/x
3. Step 3: Cross multiply
   10,730.25x = 16,614.56 × 16,614.56
4. Step 4: Simplify right side
   10,730.25x = 276,043,687.07
5. Step 5: Solve for x
   x = 276,043,687.07/10,730.25
6. Step 6: Final answer
   x = 25,725.75