Finding the Third Proportional to 2,465.30 and 3,824.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.30 : 3,824.58 = 3,824.58 : x
2. Step 2: Convert to fraction form
   2,465.30/3,824.58 = 3,824.58/x
3. Step 3: Cross multiply
   2,465.30x = 3,824.58 × 3,824.58
4. Step 4: Simplify right side
   2,465.30x = 14,627,397.83
5. Step 5: Solve for x
   x = 14,627,397.83/2,465.30
6. Step 6: Final answer
   x = 5,933.32