Finding the Third Proportional to 1,820.25 and 3,983.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,820.25 : 3,983.63 = 3,983.63 : x
2. Step 2: Convert to fraction form
   1,820.25/3,983.63 = 3,983.63/x
3. Step 3: Cross multiply
   1,820.25x = 3,983.63 × 3,983.63
4. Step 4: Simplify right side
   1,820.25x = 15,869,268.14
5. Step 5: Solve for x
   x = 15,869,268.14/1,820.25
6. Step 6: Final answer
   x = 8,718.18