Finding the Third Proportional to 2,705.91 and 4,199.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.91 : 4,199.34 = 4,199.34 : x
2. Step 2: Convert to fraction form
   2,705.91/4,199.34 = 4,199.34/x
3. Step 3: Cross multiply
   2,705.91x = 4,199.34 × 4,199.34
4. Step 4: Simplify right side
   2,705.91x = 17,634,487.93
5. Step 5: Solve for x
   x = 17,634,487.93/2,705.91
6. Step 6: Final answer
   x = 6,517.04