Finding the Third Proportional to 2,323 and 4,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,323 : 4,965.50 = 4,965.50 : x
2. Step 2: Convert to fraction form
   2,323/4,965.50 = 4,965.50/x
3. Step 3: Cross multiply
   2,323x = 4,965.50 × 4,965.50
4. Step 4: Simplify right side
   2,323x = 24,656,190.25
5. Step 5: Solve for x
   x = 24,656,190.25/2,323
6. Step 6: Final answer
   x = 10,613.94