Finding the Third Proportional to 3,826.98 and 5,798.01

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.98 : 5,798.01 = 5,798.01 : x
2. Step 2: Convert to fraction form
   3,826.98/5,798.01 = 5,798.01/x
3. Step 3: Cross multiply
   3,826.98x = 5,798.01 × 5,798.01
4. Step 4: Simplify right side
   3,826.98x = 33,616,874.78
5. Step 5: Solve for x
   x = 33,616,874.78/3,826.98
6. Step 6: Final answer
   x = 8,784.17