Finding the Third Proportional to 5,465 and 12,287

Step by Step Solution

1. Step 1: Write the proportion equation
   5,465 : 12,287 = 12,287 : x
2. Step 2: Convert to fraction form
   5,465/12,287 = 12,287/x
3. Step 3: Cross multiply
   5,465x = 12,287 × 12,287
4. Step 4: Simplify right side
   5,465x = 150,970,369
5. Step 5: Solve for x
   x = 150,970,369/5,465
6. Step 6: Final answer
   x = 27,624.95