Finding the Third Proportional to 1,146.75 and 2,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.75 : 2,704.50 = 2,704.50 : x
2. Step 2: Convert to fraction form
   1,146.75/2,704.50 = 2,704.50/x
3. Step 3: Cross multiply
   1,146.75x = 2,704.50 × 2,704.50
4. Step 4: Simplify right side
   1,146.75x = 7,314,320.25
5. Step 5: Solve for x
   x = 7,314,320.25/1,146.75
6. Step 6: Final answer
   x = 6,378.30