Finding the Third Proportional to 1,201.50 and 1,618.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.50 : 1,618.31 = 1,618.31 : x
2. Step 2: Convert to fraction form
   1,201.50/1,618.31 = 1,618.31/x
3. Step 3: Cross multiply
   1,201.50x = 1,618.31 × 1,618.31
4. Step 4: Simplify right side
   1,201.50x = 2,618,935.35
5. Step 5: Solve for x
   x = 2,618,935.35/1,201.50
6. Step 6: Final answer
   x = 2,179.72