Finding the Third Proportional to 12,696 and 18,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,696 : 18,628.50 = 18,628.50 : x
2. Step 2: Convert to fraction form
   12,696/18,628.50 = 18,628.50/x
3. Step 3: Cross multiply
   12,696x = 18,628.50 × 18,628.50
4. Step 4: Simplify right side
   12,696x = 347,021,012.25
5. Step 5: Solve for x
   x = 347,021,012.25/12,696
6. Step 6: Final answer
   x = 27,333.10