Finding the Third Proportional to 2,974.50 and 7,034.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,974.50 : 7,034.63 = 7,034.63 : x
2. Step 2: Convert to fraction form
   2,974.50/7,034.63 = 7,034.63/x
3. Step 3: Cross multiply
   2,974.50x = 7,034.63 × 7,034.63
4. Step 4: Simplify right side
   2,974.50x = 49,485,948.89
5. Step 5: Solve for x
   x = 49,485,948.89/2,974.50
6. Step 6: Final answer
   x = 16,636.73