Finding the Third Proportional to 1,205 and 1,955.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205 : 1,955.50 = 1,955.50 : x
2. Step 2: Convert to fraction form
   1,205/1,955.50 = 1,955.50/x
3. Step 3: Cross multiply
   1,205x = 1,955.50 × 1,955.50
4. Step 4: Simplify right side
   1,205x = 3,823,980.25
5. Step 5: Solve for x
   x = 3,823,980.25/1,205
6. Step 6: Final answer
   x = 3,173.43