Finding the Third Proportional to 504.50 and 1,029.38

Step by Step Solution

1. Step 1: Write the proportion equation
   504.50 : 1,029.38 = 1,029.38 : x
2. Step 2: Convert to fraction form
   504.50/1,029.38 = 1,029.38/x
3. Step 3: Cross multiply
   504.50x = 1,029.38 × 1,029.38
4. Step 4: Simplify right side
   504.50x = 1,059,612.89
5. Step 5: Solve for x
   x = 1,059,612.89/504.50
6. Step 6: Final answer
   x = 2,100.32