Finding the Third Proportional to 12,627 and 18,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,627 : 18,695.50 = 18,695.50 : x
2. Step 2: Convert to fraction form
   12,627/18,695.50 = 18,695.50/x
3. Step 3: Cross multiply
   12,627x = 18,695.50 × 18,695.50
4. Step 4: Simplify right side
   12,627x = 349,521,720.25
5. Step 5: Solve for x
   x = 349,521,720.25/12,627
6. Step 6: Final answer
   x = 27,680.50