Finding the Third Proportional to 1,641.67 and 2,154.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,641.67 : 2,154.96 = 2,154.96 : x
2. Step 2: Convert to fraction form
   1,641.67/2,154.96 = 2,154.96/x
3. Step 3: Cross multiply
   1,641.67x = 2,154.96 × 2,154.96
4. Step 4: Simplify right side
   1,641.67x = 4,643,869.27
5. Step 5: Solve for x
   x = 4,643,869.27/1,641.67
6. Step 6: Final answer
   x = 2,828.74