Finding the Third Proportional to 8,013 and 10,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,013 : 10,468.50 = 10,468.50 : x
2. Step 2: Convert to fraction form
   8,013/10,468.50 = 10,468.50/x
3. Step 3: Cross multiply
   8,013x = 10,468.50 × 10,468.50
4. Step 4: Simplify right side
   8,013x = 109,589,492.25
5. Step 5: Solve for x
   x = 109,589,492.25/8,013
6. Step 6: Final answer
   x = 13,676.46