Finding the Third Proportional to 1,899.39 and 2,829.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,899.39 : 2,829.30 = 2,829.30 : x
2. Step 2: Convert to fraction form
   1,899.39/2,829.30 = 2,829.30/x
3. Step 3: Cross multiply
   1,899.39x = 2,829.30 × 2,829.30
4. Step 4: Simplify right side
   1,899.39x = 8,004,965.01
5. Step 5: Solve for x
   x = 8,004,965.01/1,899.39
6. Step 6: Final answer
   x = 4,214.50