Finding the Third Proportional to 2,178.50 and 2,358.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.50 : 2,358.50 = 2,358.50 : x
2. Step 2: Convert to fraction form
   2,178.50/2,358.50 = 2,358.50/x
3. Step 3: Cross multiply
   2,178.50x = 2,358.50 × 2,358.50
4. Step 4: Simplify right side
   2,178.50x = 5,562,522.25
5. Step 5: Solve for x
   x = 5,562,522.25/2,178.50
6. Step 6: Final answer
   x = 2,553.37