Finding the Third Proportional to 1,451 and 3,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451 : 3,174.50 = 3,174.50 : x
2. Step 2: Convert to fraction form
   1,451/3,174.50 = 3,174.50/x
3. Step 3: Cross multiply
   1,451x = 3,174.50 × 3,174.50
4. Step 4: Simplify right side
   1,451x = 10,077,450.25
5. Step 5: Solve for x
   x = 10,077,450.25/1,451
6. Step 6: Final answer
   x = 6,945.18