Finding the Third Proportional to 849 and 1,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   849 : 1,462.50 = 1,462.50 : x
2. Step 2: Convert to fraction form
   849/1,462.50 = 1,462.50/x
3. Step 3: Cross multiply
   849x = 1,462.50 × 1,462.50
4. Step 4: Simplify right side
   849x = 2,138,906.25
5. Step 5: Solve for x
   x = 2,138,906.25/849
6. Step 6: Final answer
   x = 2,519.32