Finding the Third Proportional to 1,045.69 and 1,625.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,045.69 : 1,625.63 = 1,625.63 : x
2. Step 2: Convert to fraction form
   1,045.69/1,625.63 = 1,625.63/x
3. Step 3: Cross multiply
   1,045.69x = 1,625.63 × 1,625.63
4. Step 4: Simplify right side
   1,045.69x = 2,642,656.64
5. Step 5: Solve for x
   x = 2,642,656.64/1,045.69
6. Step 6: Final answer
   x = 2,527.20