Finding the Third Proportional to 2,822.88 and 3,971.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,822.88 : 3,971.63 = 3,971.63 : x
2. Step 2: Convert to fraction form
   2,822.88/3,971.63 = 3,971.63/x
3. Step 3: Cross multiply
   2,822.88x = 3,971.63 × 3,971.63
4. Step 4: Simplify right side
   2,822.88x = 15,773,805.14
5. Step 5: Solve for x
   x = 15,773,805.14/2,822.88
6. Step 6: Final answer
   x = 5,587.85