Finding the Third Proportional to 1,274.17 and 1,794.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,274.17 : 1,794.34 = 1,794.34 : x
2. Step 2: Convert to fraction form
   1,274.17/1,794.34 = 1,794.34/x
3. Step 3: Cross multiply
   1,274.17x = 1,794.34 × 1,794.34
4. Step 4: Simplify right side
   1,274.17x = 3,219,655.47
5. Step 5: Solve for x
   x = 3,219,655.47/1,274.17
6. Step 6: Final answer
   x = 2,526.87