Finding the Third Proportional to 6,500 and 14,140

Step by Step Solution

1. Step 1: Write the proportion equation
   6,500 : 14,140 = 14,140 : x
2. Step 2: Convert to fraction form
   6,500/14,140 = 14,140/x
3. Step 3: Cross multiply
   6,500x = 14,140 × 14,140
4. Step 4: Simplify right side
   6,500x = 199,939,600
5. Step 5: Solve for x
   x = 199,939,600/6,500
6. Step 6: Final answer
   x = 30,759.94