Finding the Third Proportional to 12,321 and 27,274

Step by Step Solution

1. Step 1: Write the proportion equation
   12,321 : 27,274 = 27,274 : x
2. Step 2: Convert to fraction form
   12,321/27,274 = 27,274/x
3. Step 3: Cross multiply
   12,321x = 27,274 × 27,274
4. Step 4: Simplify right side
   12,321x = 743,871,076
5. Step 5: Solve for x
   x = 743,871,076/12,321
6. Step 6: Final answer
   x = 60,374.25