Finding the Third Proportional to 1,264.36 and 1,401.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,264.36 : 1,401.05 = 1,401.05 : x
2. Step 2: Convert to fraction form
   1,264.36/1,401.05 = 1,401.05/x
3. Step 3: Cross multiply
   1,264.36x = 1,401.05 × 1,401.05
4. Step 4: Simplify right side
   1,264.36x = 1,962,932.35
5. Step 5: Solve for x
   x = 1,962,932.35/1,264.36
6. Step 6: Final answer
   x = 1,552.51