Finding the Third Proportional to 12,696 and 14,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,696 : 14,599.50 = 14,599.50 : x
2. Step 2: Convert to fraction form
   12,696/14,599.50 = 14,599.50/x
3. Step 3: Cross multiply
   12,696x = 14,599.50 × 14,599.50
4. Step 4: Simplify right side
   12,696x = 213,145,400.25
5. Step 5: Solve for x
   x = 213,145,400.25/12,696
6. Step 6: Final answer
   x = 16,788.39