Finding the Third Proportional to 6,530 and 13,300

Step by Step Solution

1. Step 1: Write the proportion equation
   6,530 : 13,300 = 13,300 : x
2. Step 2: Convert to fraction form
   6,530/13,300 = 13,300/x
3. Step 3: Cross multiply
   6,530x = 13,300 × 13,300
4. Step 4: Simplify right side
   6,530x = 176,890,000
5. Step 5: Solve for x
   x = 176,890,000/6,530
6. Step 6: Final answer
   x = 27,088.82