Finding the Third Proportional to 3,822.81 and 5,877.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,822.81 : 5,877.69 = 5,877.69 : x
2. Step 2: Convert to fraction form
   3,822.81/5,877.69 = 5,877.69/x
3. Step 3: Cross multiply
   3,822.81x = 5,877.69 × 5,877.69
4. Step 4: Simplify right side
   3,822.81x = 34,547,210.35
5. Step 5: Solve for x
   x = 34,547,210.35/3,822.81
6. Step 6: Final answer
   x = 9,037.12