Finding the Third Proportional to 1,282.50 and 1,512.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.50 : 1,512.84 = 1,512.84 : x
2. Step 2: Convert to fraction form
   1,282.50/1,512.84 = 1,512.84/x
3. Step 3: Cross multiply
   1,282.50x = 1,512.84 × 1,512.84
4. Step 4: Simplify right side
   1,282.50x = 2,288,696.21
5. Step 5: Solve for x
   x = 2,288,696.21/1,282.50
6. Step 6: Final answer
   x = 1,784.56