Finding the Third Proportional to 1,447.50 and 1,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,447.50 : 1,966.50 = 1,966.50 : x
2. Step 2: Convert to fraction form
   1,447.50/1,966.50 = 1,966.50/x
3. Step 3: Cross multiply
   1,447.50x = 1,966.50 × 1,966.50
4. Step 4: Simplify right side
   1,447.50x = 3,867,122.25
5. Step 5: Solve for x
   x = 3,867,122.25/1,447.50
6. Step 6: Final answer
   x = 2,671.59