Finding the Third Proportional to 1,780.31 and 3,896.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780.31 : 3,896.34 = 3,896.34 : x
2. Step 2: Convert to fraction form
   1,780.31/3,896.34 = 3,896.34/x
3. Step 3: Cross multiply
   1,780.31x = 3,896.34 × 3,896.34
4. Step 4: Simplify right side
   1,780.31x = 15,181,494.62
5. Step 5: Solve for x
   x = 15,181,494.62/1,780.31
6. Step 6: Final answer
   x = 8,527.43