Finding the Third Proportional to 6,140 and 8,300

Step by Step Solution

1. Step 1: Write the proportion equation
   6,140 : 8,300 = 8,300 : x
2. Step 2: Convert to fraction form
   6,140/8,300 = 8,300/x
3. Step 3: Cross multiply
   6,140x = 8,300 × 8,300
4. Step 4: Simplify right side
   6,140x = 68,890,000
5. Step 5: Solve for x
   x = 68,890,000/6,140
6. Step 6: Final answer
   x = 11,219.87