Finding the Third Proportional to 2,742.29 and 4,190.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.29 : 4,190.33 = 4,190.33 : x
2. Step 2: Convert to fraction form
   2,742.29/4,190.33 = 4,190.33/x
3. Step 3: Cross multiply
   2,742.29x = 4,190.33 × 4,190.33
4. Step 4: Simplify right side
   2,742.29x = 17,558,833.43
5. Step 5: Solve for x
   x = 17,558,833.43/2,742.29
6. Step 6: Final answer
   x = 6,402.98