Finding the Third Proportional to 6,179.63 and 14,662.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,179.63 : 14,662.69 = 14,662.69 : x
2. Step 2: Convert to fraction form
   6,179.63/14,662.69 = 14,662.69/x
3. Step 3: Cross multiply
   6,179.63x = 14,662.69 × 14,662.69
4. Step 4: Simplify right side
   6,179.63x = 214,994,404.72
5. Step 5: Solve for x
   x = 214,994,404.72/6,179.63
6. Step 6: Final answer
   x = 34,790.85