Finding the Third Proportional to 2,374.50 and 5,601

Step by Step Solution

1. Step 1: Write the proportion equation
   2,374.50 : 5,601 = 5,601 : x
2. Step 2: Convert to fraction form
   2,374.50/5,601 = 5,601/x
3. Step 3: Cross multiply
   2,374.50x = 5,601 × 5,601
4. Step 4: Simplify right side
   2,374.50x = 31,371,201
5. Step 5: Solve for x
   x = 31,371,201/2,374.50
6. Step 6: Final answer
   x = 13,211.71