Finding the Third Proportional to 6,574 and 14,300

Step by Step Solution

1. Step 1: Write the proportion equation
   6,574 : 14,300 = 14,300 : x
2. Step 2: Convert to fraction form
   6,574/14,300 = 14,300/x
3. Step 3: Cross multiply
   6,574x = 14,300 × 14,300
4. Step 4: Simplify right side
   6,574x = 204,490,000
5. Step 5: Solve for x
   x = 204,490,000/6,574
6. Step 6: Final answer
   x = 31,105.87