Finding the Third Proportional to 1,202.06 and 1,561.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,202.06 : 1,561.69 = 1,561.69 : x
2. Step 2: Convert to fraction form
   1,202.06/1,561.69 = 1,561.69/x
3. Step 3: Cross multiply
   1,202.06x = 1,561.69 × 1,561.69
4. Step 4: Simplify right side
   1,202.06x = 2,438,867.85
5. Step 5: Solve for x
   x = 2,438,867.85/1,202.06
6. Step 6: Final answer
   x = 2,028.90