Finding the Third Proportional to 2,003.63 and 2,820.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.63 : 2,820.38 = 2,820.38 : x
2. Step 2: Convert to fraction form
   2,003.63/2,820.38 = 2,820.38/x
3. Step 3: Cross multiply
   2,003.63x = 2,820.38 × 2,820.38
4. Step 4: Simplify right side
   2,003.63x = 7,954,515.14
5. Step 5: Solve for x
   x = 7,954,515.14/2,003.63
6. Step 6: Final answer
   x = 3,970.06