Finding the Third Proportional to 11,265 and 12,465

Step by Step Solution

1. Step 1: Write the proportion equation
   11,265 : 12,465 = 12,465 : x
2. Step 2: Convert to fraction form
   11,265/12,465 = 12,465/x
3. Step 3: Cross multiply
   11,265x = 12,465 × 12,465
4. Step 4: Simplify right side
   11,265x = 155,376,225
5. Step 5: Solve for x
   x = 155,376,225/11,265
6. Step 6: Final answer
   x = 13,792.83