Finding the Third Proportional to 1,787.25 and 2,822.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,787.25 : 2,822.63 = 2,822.63 : x
2. Step 2: Convert to fraction form
   1,787.25/2,822.63 = 2,822.63/x
3. Step 3: Cross multiply
   1,787.25x = 2,822.63 × 2,822.63
4. Step 4: Simplify right side
   1,787.25x = 7,967,211.89
5. Step 5: Solve for x
   x = 7,967,211.89/1,787.25
6. Step 6: Final answer
   x = 4,457.80