Finding the Third Proportional to 1,071 and 1,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071 : 1,654.50 = 1,654.50 : x
2. Step 2: Convert to fraction form
   1,071/1,654.50 = 1,654.50/x
3. Step 3: Cross multiply
   1,071x = 1,654.50 × 1,654.50
4. Step 4: Simplify right side
   1,071x = 2,737,370.25
5. Step 5: Solve for x
   x = 2,737,370.25/1,071
6. Step 6: Final answer
   x = 2,555.90