Finding the Third Proportional to 3,781.69 and 7,233.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781.69 : 7,233.05 = 7,233.05 : x
2. Step 2: Convert to fraction form
   3,781.69/7,233.05 = 7,233.05/x
3. Step 3: Cross multiply
   3,781.69x = 7,233.05 × 7,233.05
4. Step 4: Simplify right side
   3,781.69x = 52,316,967.10
5. Step 5: Solve for x
   x = 52,316,967.10/3,781.69
6. Step 6: Final answer
   x = 13,834.29