Finding the Third Proportional to 5,158.50 and 10,823.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,158.50 : 10,823.25 = 10,823.25 : x
2. Step 2: Convert to fraction form
   5,158.50/10,823.25 = 10,823.25/x
3. Step 3: Cross multiply
   5,158.50x = 10,823.25 × 10,823.25
4. Step 4: Simplify right side
   5,158.50x = 117,142,740.56
5. Step 5: Solve for x
   x = 117,142,740.56/5,158.50
6. Step 6: Final answer
   x = 22,708.68