Finding the Third Proportional to 1,004 and 1,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004 : 1,264.50 = 1,264.50 : x
2. Step 2: Convert to fraction form
   1,004/1,264.50 = 1,264.50/x
3. Step 3: Cross multiply
   1,004x = 1,264.50 × 1,264.50
4. Step 4: Simplify right side
   1,004x = 1,598,960.25
5. Step 5: Solve for x
   x = 1,598,960.25/1,004
6. Step 6: Final answer
   x = 1,592.59