Finding the Third Proportional to 1,030.50 and 1,661.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.50 : 1,661.63 = 1,661.63 : x
2. Step 2: Convert to fraction form
   1,030.50/1,661.63 = 1,661.63/x
3. Step 3: Cross multiply
   1,030.50x = 1,661.63 × 1,661.63
4. Step 4: Simplify right side
   1,030.50x = 2,760,997.64
5. Step 5: Solve for x
   x = 2,760,997.64/1,030.50
6. Step 6: Final answer
   x = 2,679.28