Finding the Third Proportional to 1,071 and 1,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071 : 1,621.50 = 1,621.50 : x
2. Step 2: Convert to fraction form
   1,071/1,621.50 = 1,621.50/x
3. Step 3: Cross multiply
   1,071x = 1,621.50 × 1,621.50
4. Step 4: Simplify right side
   1,071x = 2,629,262.25
5. Step 5: Solve for x
   x = 2,629,262.25/1,071
6. Step 6: Final answer
   x = 2,454.96