Finding the Third Proportional to 2,353.50 and 5,071.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,353.50 : 5,071.69 = 5,071.69 : x
2. Step 2: Convert to fraction form
   2,353.50/5,071.69 = 5,071.69/x
3. Step 3: Cross multiply
   2,353.50x = 5,071.69 × 5,071.69
4. Step 4: Simplify right side
   2,353.50x = 25,722,014.10
5. Step 5: Solve for x
   x = 25,722,014.10/2,353.50
6. Step 6: Final answer
   x = 10,929.26