Finding the Third Proportional to 7,215.50 and 10,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,215.50 : 10,823.50 = 10,823.50 : x
2. Step 2: Convert to fraction form
   7,215.50/10,823.50 = 10,823.50/x
3. Step 3: Cross multiply
   7,215.50x = 10,823.50 × 10,823.50
4. Step 4: Simplify right side
   7,215.50x = 117,148,152.25
5. Step 5: Solve for x
   x = 117,148,152.25/7,215.50
6. Step 6: Final answer
   x = 16,235.63