Finding the Third Proportional to 2,357.86 and 3,639.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,357.86 : 3,639.30 = 3,639.30 : x
2. Step 2: Convert to fraction form
   2,357.86/3,639.30 = 3,639.30/x
3. Step 3: Cross multiply
   2,357.86x = 3,639.30 × 3,639.30
4. Step 4: Simplify right side
   2,357.86x = 13,244,538.61
5. Step 5: Solve for x
   x = 13,244,538.61/2,357.86
6. Step 6: Final answer
   x = 5,617.19