Finding the Third Proportional to 1,429.31 and 3,084.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.31 : 3,084.75 = 3,084.75 : x
2. Step 2: Convert to fraction form
   1,429.31/3,084.75 = 3,084.75/x
3. Step 3: Cross multiply
   1,429.31x = 3,084.75 × 3,084.75
4. Step 4: Simplify right side
   1,429.31x = 9,515,682.56
5. Step 5: Solve for x
   x = 9,515,682.56/1,429.31
6. Step 6: Final answer
   x = 6,657.52