Finding the Third Proportional to 4,863.80 and 7,506.42

Step by Step Solution

1. Step 1: Write the proportion equation
   4,863.80 : 7,506.42 = 7,506.42 : x
2. Step 2: Convert to fraction form
   4,863.80/7,506.42 = 7,506.42/x
3. Step 3: Cross multiply
   4,863.80x = 7,506.42 × 7,506.42
4. Step 4: Simplify right side
   4,863.80x = 56,346,369.37
5. Step 5: Solve for x
   x = 56,346,369.37/4,863.80
6. Step 6: Final answer
   x = 11,584.85