Finding the Third Proportional to 2,319.89 and 3,697.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,319.89 : 3,697.21 = 3,697.21 : x
2. Step 2: Convert to fraction form
   2,319.89/3,697.21 = 3,697.21/x
3. Step 3: Cross multiply
   2,319.89x = 3,697.21 × 3,697.21
4. Step 4: Simplify right side
   2,319.89x = 13,669,339.83
5. Step 5: Solve for x
   x = 13,669,339.83/2,319.89
6. Step 6: Final answer
   x = 5,892.23