Finding the Third Proportional to 10,665 and 12,513

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665 : 12,513 = 12,513 : x
2. Step 2: Convert to fraction form
   10,665/12,513 = 12,513/x
3. Step 3: Cross multiply
   10,665x = 12,513 × 12,513
4. Step 4: Simplify right side
   10,665x = 156,575,169
5. Step 5: Solve for x
   x = 156,575,169/10,665
6. Step 6: Final answer
   x = 14,681.22