Finding the Third Proportional to 1,154.25 and 1,787.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,154.25 : 1,787.06 = 1,787.06 : x
2. Step 2: Convert to fraction form
   1,154.25/1,787.06 = 1,787.06/x
3. Step 3: Cross multiply
   1,154.25x = 1,787.06 × 1,787.06
4. Step 4: Simplify right side
   1,154.25x = 3,193,592.38
5. Step 5: Solve for x
   x = 3,193,592.38/1,154.25
6. Step 6: Final answer
   x = 2,766.81