Finding the Third Proportional to 6,000 and 13,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,000 : 13,630.50 = 13,630.50 : x
2. Step 2: Convert to fraction form
   6,000/13,630.50 = 13,630.50/x
3. Step 3: Cross multiply
   6,000x = 13,630.50 × 13,630.50
4. Step 4: Simplify right side
   6,000x = 185,790,530.25
5. Step 5: Solve for x
   x = 185,790,530.25/6,000
6. Step 6: Final answer
   x = 30,965.09