Finding the Third Proportional to 3,781.69 and 7,396.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781.69 : 7,396.31 = 7,396.31 : x
2. Step 2: Convert to fraction form
   3,781.69/7,396.31 = 7,396.31/x
3. Step 3: Cross multiply
   3,781.69x = 7,396.31 × 7,396.31
4. Step 4: Simplify right side
   3,781.69x = 54,705,438.60
5. Step 5: Solve for x
   x = 54,705,438.60/3,781.69
6. Step 6: Final answer
   x = 14,465.88