Finding the Third Proportional to 1,269.84 and 1,644.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,269.84 : 1,644.89 = 1,644.89 : x
2. Step 2: Convert to fraction form
   1,269.84/1,644.89 = 1,644.89/x
3. Step 3: Cross multiply
   1,269.84x = 1,644.89 × 1,644.89
4. Step 4: Simplify right side
   1,269.84x = 2,705,665.17
5. Step 5: Solve for x
   x = 2,705,665.17/1,269.84
6. Step 6: Final answer
   x = 2,130.71