Finding the Third Proportional to 501.47 and 1,002.94

Step by Step Solution

1. Step 1: Write the proportion equation
   501.47 : 1,002.94 = 1,002.94 : x
2. Step 2: Convert to fraction form
   501.47/1,002.94 = 1,002.94/x
3. Step 3: Cross multiply
   501.47x = 1,002.94 × 1,002.94
4. Step 4: Simplify right side
   501.47x = 1,005,883.63
5. Step 5: Solve for x
   x = 1,005,883.63/501.47
6. Step 6: Final answer
   x = 2,005.88