Finding the Third Proportional to 6,174 and 12,600

Step by Step Solution

1. Step 1: Write the proportion equation
   6,174 : 12,600 = 12,600 : x
2. Step 2: Convert to fraction form
   6,174/12,600 = 12,600/x
3. Step 3: Cross multiply
   6,174x = 12,600 × 12,600
4. Step 4: Simplify right side
   6,174x = 158,760,000
5. Step 5: Solve for x
   x = 158,760,000/6,174
6. Step 6: Final answer
   x = 25,714.29