Finding the Third Proportional to 1,296.84 and 1,760.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296.84 : 1,760.06 = 1,760.06 : x
2. Step 2: Convert to fraction form
   1,296.84/1,760.06 = 1,760.06/x
3. Step 3: Cross multiply
   1,296.84x = 1,760.06 × 1,760.06
4. Step 4: Simplify right side
   1,296.84x = 3,097,820.00
5. Step 5: Solve for x
   x = 3,097,820.00/1,296.84
6. Step 6: Final answer
   x = 2,388.74