Finding the Third Proportional to 1,294.69 and 1,748.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.69 : 1,748.53 = 1,748.53 : x
2. Step 2: Convert to fraction form
   1,294.69/1,748.53 = 1,748.53/x
3. Step 3: Cross multiply
   1,294.69x = 1,748.53 × 1,748.53
4. Step 4: Simplify right side
   1,294.69x = 3,057,361.53
5. Step 5: Solve for x
   x = 3,057,361.53/1,294.69
6. Step 6: Final answer
   x = 2,361.47