Finding the Third Proportional to 2,824.88 and 4,298.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824.88 : 4,298.06 = 4,298.06 : x
2. Step 2: Convert to fraction form
   2,824.88/4,298.06 = 4,298.06/x
3. Step 3: Cross multiply
   2,824.88x = 4,298.06 × 4,298.06
4. Step 4: Simplify right side
   2,824.88x = 18,473,341.25
5. Step 5: Solve for x
   x = 18,473,341.25/2,824.88
6. Step 6: Final answer
   x = 6,539.53