Finding the Third Proportional to 1,759.50 and 2,701.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,759.50 : 2,701.13 = 2,701.13 : x
2. Step 2: Convert to fraction form
   1,759.50/2,701.13 = 2,701.13/x
3. Step 3: Cross multiply
   1,759.50x = 2,701.13 × 2,701.13
4. Step 4: Simplify right side
   1,759.50x = 7,296,076.27
5. Step 5: Solve for x
   x = 7,296,076.27/1,759.50
6. Step 6: Final answer
   x = 4,146.68