Finding the Third Proportional to 1,270.88 and 1,501.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,270.88 : 1,501.69 = 1,501.69 : x
2. Step 2: Convert to fraction form
   1,270.88/1,501.69 = 1,501.69/x
3. Step 3: Cross multiply
   1,270.88x = 1,501.69 × 1,501.69
4. Step 4: Simplify right side
   1,270.88x = 2,255,065.35
5. Step 5: Solve for x
   x = 2,255,065.35/1,270.88
6. Step 6: Final answer
   x = 1,774.42