Finding the Third Proportional to 2,654.25 and 4,118.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,654.25 : 4,118.25 = 4,118.25 : x
2. Step 2: Convert to fraction form
   2,654.25/4,118.25 = 4,118.25/x
3. Step 3: Cross multiply
   2,654.25x = 4,118.25 × 4,118.25
4. Step 4: Simplify right side
   2,654.25x = 16,959,983.06
5. Step 5: Solve for x
   x = 16,959,983.06/2,654.25
6. Step 6: Final answer
   x = 6,389.75