Finding the Third Proportional to 5,823 and 9,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,823 : 9,436.50 = 9,436.50 : x
2. Step 2: Convert to fraction form
   5,823/9,436.50 = 9,436.50/x
3. Step 3: Cross multiply
   5,823x = 9,436.50 × 9,436.50
4. Step 4: Simplify right side
   5,823x = 89,047,532.25
5. Step 5: Solve for x
   x = 89,047,532.25/5,823
6. Step 6: Final answer
   x = 15,292.38