Finding the Third Proportional to 1,401.19 and 1,657.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.19 : 1,657.69 = 1,657.69 : x
2. Step 2: Convert to fraction form
   1,401.19/1,657.69 = 1,657.69/x
3. Step 3: Cross multiply
   1,401.19x = 1,657.69 × 1,657.69
4. Step 4: Simplify right side
   1,401.19x = 2,747,927.85
5. Step 5: Solve for x
   x = 2,747,927.85/1,401.19
6. Step 6: Final answer
   x = 1,961.14