Finding the Third Proportional to 6,492 and 10,336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,492 : 10,336.50 = 10,336.50 : x
2. Step 2: Convert to fraction form
   6,492/10,336.50 = 10,336.50/x
3. Step 3: Cross multiply
   6,492x = 10,336.50 × 10,336.50
4. Step 4: Simplify right side
   6,492x = 106,843,232.25
5. Step 5: Solve for x
   x = 106,843,232.25/6,492
6. Step 6: Final answer
   x = 16,457.68