Finding the Third Proportional to 1,401.05 and 1,561.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.05 : 1,561.23 = 1,561.23 : x
2. Step 2: Convert to fraction form
   1,401.05/1,561.23 = 1,561.23/x
3. Step 3: Cross multiply
   1,401.05x = 1,561.23 × 1,561.23
4. Step 4: Simplify right side
   1,401.05x = 2,437,431.43
5. Step 5: Solve for x
   x = 2,437,431.43/1,401.05
6. Step 6: Final answer
   x = 1,739.72