Finding the Third Proportional to 2,178.75 and 3,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.75 : 3,277.50 = 3,277.50 : x
2. Step 2: Convert to fraction form
   2,178.75/3,277.50 = 3,277.50/x
3. Step 3: Cross multiply
   2,178.75x = 3,277.50 × 3,277.50
4. Step 4: Simplify right side
   2,178.75x = 10,742,006.25
5. Step 5: Solve for x
   x = 10,742,006.25/2,178.75
6. Step 6: Final answer
   x = 4,930.35