Finding the Third Proportional to 1,490.06 and 2,647.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.06 : 2,647.69 = 2,647.69 : x
2. Step 2: Convert to fraction form
   1,490.06/2,647.69 = 2,647.69/x
3. Step 3: Cross multiply
   1,490.06x = 2,647.69 × 2,647.69
4. Step 4: Simplify right side
   1,490.06x = 7,010,249.10
5. Step 5: Solve for x
   x = 7,010,249.10/1,490.06
6. Step 6: Final answer
   x = 4,704.67