Finding the Third Proportional to 6,222 and 14,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,222 : 14,578.50 = 14,578.50 : x
2. Step 2: Convert to fraction form
   6,222/14,578.50 = 14,578.50/x
3. Step 3: Cross multiply
   6,222x = 14,578.50 × 14,578.50
4. Step 4: Simplify right side
   6,222x = 212,532,662.25
5. Step 5: Solve for x
   x = 212,532,662.25/6,222
6. Step 6: Final answer
   x = 34,158.25