Finding the Third Proportional to 2,253 and 5,262

Step by Step Solution

1. Step 1: Write the proportion equation
   2,253 : 5,262 = 5,262 : x
2. Step 2: Convert to fraction form
   2,253/5,262 = 5,262/x
3. Step 3: Cross multiply
   2,253x = 5,262 × 5,262
4. Step 4: Simplify right side
   2,253x = 27,688,644
5. Step 5: Solve for x
   x = 27,688,644/2,253
6. Step 6: Final answer
   x = 12,289.68