Finding the Third Proportional to 2,850 and 5,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,850 : 5,911.50 = 5,911.50 : x
2. Step 2: Convert to fraction form
   2,850/5,911.50 = 5,911.50/x
3. Step 3: Cross multiply
   2,850x = 5,911.50 × 5,911.50
4. Step 4: Simplify right side
   2,850x = 34,945,832.25
5. Step 5: Solve for x
   x = 34,945,832.25/2,850
6. Step 6: Final answer
   x = 12,261.70