Finding the Third Proportional to 2,853 and 4,491.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,853 : 4,491.50 = 4,491.50 : x
2. Step 2: Convert to fraction form
   2,853/4,491.50 = 4,491.50/x
3. Step 3: Cross multiply
   2,853x = 4,491.50 × 4,491.50
4. Step 4: Simplify right side
   2,853x = 20,173,572.25
5. Step 5: Solve for x
   x = 20,173,572.25/2,853
6. Step 6: Final answer
   x = 7,071.00