Finding the Third Proportional to 1,829.81 and 4,015.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,829.81 : 4,015.69 = 4,015.69 : x
2. Step 2: Convert to fraction form
   1,829.81/4,015.69 = 4,015.69/x
3. Step 3: Cross multiply
   1,829.81x = 4,015.69 × 4,015.69
4. Step 4: Simplify right side
   1,829.81x = 16,125,746.10
5. Step 5: Solve for x
   x = 16,125,746.10/1,829.81
6. Step 6: Final answer
   x = 8,812.79