Finding the Third Proportional to 2,746.50 and 4,086.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,746.50 : 4,086.38 = 4,086.38 : x
2. Step 2: Convert to fraction form
   2,746.50/4,086.38 = 4,086.38/x
3. Step 3: Cross multiply
   2,746.50x = 4,086.38 × 4,086.38
4. Step 4: Simplify right side
   2,746.50x = 16,698,460.64
5. Step 5: Solve for x
   x = 16,698,460.64/2,746.50
6. Step 6: Final answer
   x = 6,079.91