Finding the Third Proportional to 2,155 and 2,841.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,155 : 2,841.50 = 2,841.50 : x
2. Step 2: Convert to fraction form
   2,155/2,841.50 = 2,841.50/x
3. Step 3: Cross multiply
   2,155x = 2,841.50 × 2,841.50
4. Step 4: Simplify right side
   2,155x = 8,074,122.25
5. Step 5: Solve for x
   x = 8,074,122.25/2,155
6. Step 6: Final answer
   x = 3,746.69