Finding the Third Proportional to 2,840.06 and 6,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,840.06 : 6,196.50 = 6,196.50 : x
2. Step 2: Convert to fraction form
   2,840.06/6,196.50 = 6,196.50/x
3. Step 3: Cross multiply
   2,840.06x = 6,196.50 × 6,196.50
4. Step 4: Simplify right side
   2,840.06x = 38,396,612.25
5. Step 5: Solve for x
   x = 38,396,612.25/2,840.06
6. Step 6: Final answer
   x = 13,519.64