Finding the Third Proportional to 1,787.62 and 3,847.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,787.62 : 3,847.54 = 3,847.54 : x
2. Step 2: Convert to fraction form
   1,787.62/3,847.54 = 3,847.54/x
3. Step 3: Cross multiply
   1,787.62x = 3,847.54 × 3,847.54
4. Step 4: Simplify right side
   1,787.62x = 14,803,560.59
5. Step 5: Solve for x
   x = 14,803,560.59/1,787.62
6. Step 6: Final answer
   x = 8,281.17