Finding the Third Proportional to 1,274.25 and 3,014.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,274.25 : 3,014.63 = 3,014.63 : x
2. Step 2: Convert to fraction form
   1,274.25/3,014.63 = 3,014.63/x
3. Step 3: Cross multiply
   1,274.25x = 3,014.63 × 3,014.63
4. Step 4: Simplify right side
   1,274.25x = 9,087,963.89
5. Step 5: Solve for x
   x = 9,087,963.89/1,274.25
6. Step 6: Final answer
   x = 7,132.01