Finding the Third Proportional to 1,546.28 and 2,878.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.28 : 2,878.98 = 2,878.98 : x
2. Step 2: Convert to fraction form
   1,546.28/2,878.98 = 2,878.98/x
3. Step 3: Cross multiply
   1,546.28x = 2,878.98 × 2,878.98
4. Step 4: Simplify right side
   1,546.28x = 8,288,528.54
5. Step 5: Solve for x
   x = 8,288,528.54/1,546.28
6. Step 6: Final answer
   x = 5,360.31