Finding the Third Proportional to 10,513.50 and 16,293

Step by Step Solution

1. Step 1: Write the proportion equation
   10,513.50 : 16,293 = 16,293 : x
2. Step 2: Convert to fraction form
   10,513.50/16,293 = 16,293/x
3. Step 3: Cross multiply
   10,513.50x = 16,293 × 16,293
4. Step 4: Simplify right side
   10,513.50x = 265,461,849
5. Step 5: Solve for x
   x = 265,461,849/10,513.50
6. Step 6: Final answer
   x = 25,249.62