Finding the Third Proportional to 12,343.50 and 16,206.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,343.50 : 16,206.75 = 16,206.75 : x
2. Step 2: Convert to fraction form
   12,343.50/16,206.75 = 16,206.75/x
3. Step 3: Cross multiply
   12,343.50x = 16,206.75 × 16,206.75
4. Step 4: Simplify right side
   12,343.50x = 262,658,745.56
5. Step 5: Solve for x
   x = 262,658,745.56/12,343.50
6. Step 6: Final answer
   x = 21,279.11