Finding the Third Proportional to 2,858 and 5,795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,858 : 5,795.50 = 5,795.50 : x
2. Step 2: Convert to fraction form
   2,858/5,795.50 = 5,795.50/x
3. Step 3: Cross multiply
   2,858x = 5,795.50 × 5,795.50
4. Step 4: Simplify right side
   2,858x = 33,587,820.25
5. Step 5: Solve for x
   x = 33,587,820.25/2,858
6. Step 6: Final answer
   x = 11,752.21