Finding the Third Proportional to 2,465.86 and 3,468.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.86 : 3,468.42 = 3,468.42 : x
2. Step 2: Convert to fraction form
   2,465.86/3,468.42 = 3,468.42/x
3. Step 3: Cross multiply
   2,465.86x = 3,468.42 × 3,468.42
4. Step 4: Simplify right side
   2,465.86x = 12,029,950.30
5. Step 5: Solve for x
   x = 12,029,950.30/2,465.86
6. Step 6: Final answer
   x = 4,878.60