Finding the Third Proportional to 2,678.25 and 5,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678.25 : 5,832.50 = 5,832.50 : x
2. Step 2: Convert to fraction form
   2,678.25/5,832.50 = 5,832.50/x
3. Step 3: Cross multiply
   2,678.25x = 5,832.50 × 5,832.50
4. Step 4: Simplify right side
   2,678.25x = 34,018,056.25
5. Step 5: Solve for x
   x = 34,018,056.25/2,678.25
6. Step 6: Final answer
   x = 12,701.60