Finding the Third Proportional to 2,705.63 and 4,096.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.63 : 4,096.69 = 4,096.69 : x
2. Step 2: Convert to fraction form
   2,705.63/4,096.69 = 4,096.69/x
3. Step 3: Cross multiply
   2,705.63x = 4,096.69 × 4,096.69
4. Step 4: Simplify right side
   2,705.63x = 16,782,848.47
5. Step 5: Solve for x
   x = 16,782,848.47/2,705.63
6. Step 6: Final answer
   x = 6,202.95