Finding the Third Proportional to 7,129.50 and 10,974.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,129.50 : 10,974.75 = 10,974.75 : x
2. Step 2: Convert to fraction form
   7,129.50/10,974.75 = 10,974.75/x
3. Step 3: Cross multiply
   7,129.50x = 10,974.75 × 10,974.75
4. Step 4: Simplify right side
   7,129.50x = 120,445,137.56
5. Step 5: Solve for x
   x = 120,445,137.56/7,129.50
6. Step 6: Final answer
   x = 16,893.91