Finding the Third Proportional to 5,174 and 12,461

Step by Step Solution

1. Step 1: Write the proportion equation
   5,174 : 12,461 = 12,461 : x
2. Step 2: Convert to fraction form
   5,174/12,461 = 12,461/x
3. Step 3: Cross multiply
   5,174x = 12,461 × 12,461
4. Step 4: Simplify right side
   5,174x = 155,276,521
5. Step 5: Solve for x
   x = 155,276,521/5,174
6. Step 6: Final answer
   x = 30,010.92