Finding the Third Proportional to 3,697 and 5,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697 : 5,641.50 = 5,641.50 : x
2. Step 2: Convert to fraction form
   3,697/5,641.50 = 5,641.50/x
3. Step 3: Cross multiply
   3,697x = 5,641.50 × 5,641.50
4. Step 4: Simplify right side
   3,697x = 31,826,522.25
5. Step 5: Solve for x
   x = 31,826,522.25/3,697
6. Step 6: Final answer
   x = 8,608.74