Finding the Third Proportional to 6,849 and 10,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,849 : 10,468.50 = 10,468.50 : x
2. Step 2: Convert to fraction form
   6,849/10,468.50 = 10,468.50/x
3. Step 3: Cross multiply
   6,849x = 10,468.50 × 10,468.50
4. Step 4: Simplify right side
   6,849x = 109,589,492.25
5. Step 5: Solve for x
   x = 109,589,492.25/6,849
6. Step 6: Final answer
   x = 16,000.80