Finding the Third Proportional to 1,283 and 1,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,283 : 1,961.50 = 1,961.50 : x
2. Step 2: Convert to fraction form
   1,283/1,961.50 = 1,961.50/x
3. Step 3: Cross multiply
   1,283x = 1,961.50 × 1,961.50
4. Step 4: Simplify right side
   1,283x = 3,847,482.25
5. Step 5: Solve for x
   x = 3,847,482.25/1,283
6. Step 6: Final answer
   x = 2,998.82