Finding the Third Proportional to 1,201 and 1,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201 : 1,853.50 = 1,853.50 : x
2. Step 2: Convert to fraction form
   1,201/1,853.50 = 1,853.50/x
3. Step 3: Cross multiply
   1,201x = 1,853.50 × 1,853.50
4. Step 4: Simplify right side
   1,201x = 3,435,462.25
5. Step 5: Solve for x
   x = 3,435,462.25/1,201
6. Step 6: Final answer
   x = 2,860.50