Finding the Third Proportional to 1,711 and 2,253.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,711 : 2,253.50 = 2,253.50 : x
2. Step 2: Convert to fraction form
   1,711/2,253.50 = 2,253.50/x
3. Step 3: Cross multiply
   1,711x = 2,253.50 × 2,253.50
4. Step 4: Simplify right side
   1,711x = 5,078,262.25
5. Step 5: Solve for x
   x = 5,078,262.25/1,711
6. Step 6: Final answer
   x = 2,968.01