Finding the Third Proportional to 2,824.88 and 4,109.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824.88 : 4,109.06 = 4,109.06 : x
2. Step 2: Convert to fraction form
   2,824.88/4,109.06 = 4,109.06/x
3. Step 3: Cross multiply
   2,824.88x = 4,109.06 × 4,109.06
4. Step 4: Simplify right side
   2,824.88x = 16,884,394.63
5. Step 5: Solve for x
   x = 16,884,394.63/2,824.88
6. Step 6: Final answer
   x = 5,977.04