Finding the Third Proportional to 10,665 and 12,465

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665 : 12,465 = 12,465 : x
2. Step 2: Convert to fraction form
   10,665/12,465 = 12,465/x
3. Step 3: Cross multiply
   10,665x = 12,465 × 12,465
4. Step 4: Simplify right side
   10,665x = 155,376,225
5. Step 5: Solve for x
   x = 155,376,225/10,665
6. Step 6: Final answer
   x = 14,568.80