Finding the Third Proportional to 1,243.69 and 1,634.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,243.69 : 1,634.63 = 1,634.63 : x
2. Step 2: Convert to fraction form
   1,243.69/1,634.63 = 1,634.63/x
3. Step 3: Cross multiply
   1,243.69x = 1,634.63 × 1,634.63
4. Step 4: Simplify right side
   1,243.69x = 2,671,998.89
5. Step 5: Solve for x
   x = 2,671,998.89/1,243.69
6. Step 6: Final answer
   x = 2,148.45