Finding the Third Proportional to 1,704.50 and 2,647.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,704.50 : 2,647.75 = 2,647.75 : x
2. Step 2: Convert to fraction form
   1,704.50/2,647.75 = 2,647.75/x
3. Step 3: Cross multiply
   1,704.50x = 2,647.75 × 2,647.75
4. Step 4: Simplify right side
   1,704.50x = 7,010,580.06
5. Step 5: Solve for x
   x = 7,010,580.06/1,704.50
6. Step 6: Final answer
   x = 4,112.98