Finding the Third Proportional to 1,638.14 and 1,810.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.14 : 1,810.27 = 1,810.27 : x
2. Step 2: Convert to fraction form
   1,638.14/1,810.27 = 1,810.27/x
3. Step 3: Cross multiply
   1,638.14x = 1,810.27 × 1,810.27
4. Step 4: Simplify right side
   1,638.14x = 3,277,061.63
5. Step 5: Solve for x
   x = 3,277,061.63/1,638.14
6. Step 6: Final answer
   x = 2,000.48