Finding the Third Proportional to 1,026 and 1,670

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026 : 1,670 = 1,670 : x
2. Step 2: Convert to fraction form
   1,026/1,670 = 1,670/x
3. Step 3: Cross multiply
   1,026x = 1,670 × 1,670
4. Step 4: Simplify right side
   1,026x = 2,788,900
5. Step 5: Solve for x
   x = 2,788,900/1,026
6. Step 6: Final answer
   x = 2,718.23