Finding the Third Proportional to 1,864.69 and 3,815.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,864.69 : 3,815.72 = 3,815.72 : x
2. Step 2: Convert to fraction form
   1,864.69/3,815.72 = 3,815.72/x
3. Step 3: Cross multiply
   1,864.69x = 3,815.72 × 3,815.72
4. Step 4: Simplify right side
   1,864.69x = 14,559,709.58
5. Step 5: Solve for x
   x = 14,559,709.58/1,864.69
6. Step 6: Final answer
   x = 7,808.12