Finding the Third Proportional to 10,500 and 13,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500 : 13,315.50 = 13,315.50 : x
2. Step 2: Convert to fraction form
   10,500/13,315.50 = 13,315.50/x
3. Step 3: Cross multiply
   10,500x = 13,315.50 × 13,315.50
4. Step 4: Simplify right side
   10,500x = 177,302,540.25
5. Step 5: Solve for x
   x = 177,302,540.25/10,500
6. Step 6: Final answer
   x = 16,885.96