Finding the Third Proportional to 2,119.50 and 4,181.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,119.50 : 4,181.63 = 4,181.63 : x
2. Step 2: Convert to fraction form
   2,119.50/4,181.63 = 4,181.63/x
3. Step 3: Cross multiply
   2,119.50x = 4,181.63 × 4,181.63
4. Step 4: Simplify right side
   2,119.50x = 17,485,987.64
5. Step 5: Solve for x
   x = 17,485,987.64/2,119.50
6. Step 6: Final answer
   x = 8,250.05