Finding the Third Proportional to 2,355 and 2,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,355 : 2,827.50 = 2,827.50 : x
2. Step 2: Convert to fraction form
   2,355/2,827.50 = 2,827.50/x
3. Step 3: Cross multiply
   2,355x = 2,827.50 × 2,827.50
4. Step 4: Simplify right side
   2,355x = 7,994,756.25
5. Step 5: Solve for x
   x = 7,994,756.25/2,355
6. Step 6: Final answer
   x = 3,394.80