Finding the Third Proportional to 1,066.59 and 1,645.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.59 : 1,645.45 = 1,645.45 : x
2. Step 2: Convert to fraction form
   1,066.59/1,645.45 = 1,645.45/x
3. Step 3: Cross multiply
   1,066.59x = 1,645.45 × 1,645.45
4. Step 4: Simplify right side
   1,066.59x = 2,707,515.99
5. Step 5: Solve for x
   x = 2,707,515.99/1,066.59
6. Step 6: Final answer
   x = 2,538.47