Finding the Third Proportional to 13,674 and 21,215

Step by Step Solution

1. Step 1: Write the proportion equation
   13,674 : 21,215 = 21,215 : x
2. Step 2: Convert to fraction form
   13,674/21,215 = 21,215/x
3. Step 3: Cross multiply
   13,674x = 21,215 × 21,215
4. Step 4: Simplify right side
   13,674x = 450,076,225
5. Step 5: Solve for x
   x = 450,076,225/13,674
6. Step 6: Final answer
   x = 32,914.75