Finding the Third Proportional to 12,686.63 and 16,579.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,686.63 : 16,579.69 = 16,579.69 : x
2. Step 2: Convert to fraction form
   12,686.63/16,579.69 = 16,579.69/x
3. Step 3: Cross multiply
   12,686.63x = 16,579.69 × 16,579.69
4. Step 4: Simplify right side
   12,686.63x = 274,886,037.60
5. Step 5: Solve for x
   x = 274,886,037.60/12,686.63
6. Step 6: Final answer
   x = 21,667.39