Finding the Third Proportional to 6,222 and 13,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,222 : 13,834.50 = 13,834.50 : x
2. Step 2: Convert to fraction form
   6,222/13,834.50 = 13,834.50/x
3. Step 3: Cross multiply
   6,222x = 13,834.50 × 13,834.50
4. Step 4: Simplify right side
   6,222x = 191,393,390.25
5. Step 5: Solve for x
   x = 191,393,390.25/6,222
6. Step 6: Final answer
   x = 30,760.75