Finding the Third Proportional to 838.63 and 1,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   838.63 : 1,280.50 = 1,280.50 : x
2. Step 2: Convert to fraction form
   838.63/1,280.50 = 1,280.50/x
3. Step 3: Cross multiply
   838.63x = 1,280.50 × 1,280.50
4. Step 4: Simplify right side
   838.63x = 1,639,670.25
5. Step 5: Solve for x
   x = 1,639,670.25/838.63
6. Step 6: Final answer
   x = 1,955.17