Finding the Third Proportional to 3,781.13 and 5,878.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781.13 : 5,878.69 = 5,878.69 : x
2. Step 2: Convert to fraction form
   3,781.13/5,878.69 = 5,878.69/x
3. Step 3: Cross multiply
   3,781.13x = 5,878.69 × 5,878.69
4. Step 4: Simplify right side
   3,781.13x = 34,558,966.72
5. Step 5: Solve for x
   x = 34,558,966.72/3,781.13
6. Step 6: Final answer
   x = 9,139.86