Finding the Third Proportional to 6,823.50 and 14,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,823.50 : 14,929.50 = 14,929.50 : x
2. Step 2: Convert to fraction form
   6,823.50/14,929.50 = 14,929.50/x
3. Step 3: Cross multiply
   6,823.50x = 14,929.50 × 14,929.50
4. Step 4: Simplify right side
   6,823.50x = 222,889,970.25
5. Step 5: Solve for x
   x = 222,889,970.25/6,823.50
6. Step 6: Final answer
   x = 32,665.05