Finding the Third Proportional to 13,627 and 21,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,627 : 21,168.50 = 21,168.50 : x
2. Step 2: Convert to fraction form
   13,627/21,168.50 = 21,168.50/x
3. Step 3: Cross multiply
   13,627x = 21,168.50 × 21,168.50
4. Step 4: Simplify right side
   13,627x = 448,105,392.25
5. Step 5: Solve for x
   x = 448,105,392.25/13,627
6. Step 6: Final answer
   x = 32,883.64