Finding the Third Proportional to 2,302.69 and 3,602.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,302.69 : 3,602.25 = 3,602.25 : x
2. Step 2: Convert to fraction form
   2,302.69/3,602.25 = 3,602.25/x
3. Step 3: Cross multiply
   2,302.69x = 3,602.25 × 3,602.25
4. Step 4: Simplify right side
   2,302.69x = 12,976,205.06
5. Step 5: Solve for x
   x = 12,976,205.06/2,302.69
6. Step 6: Final answer
   x = 5,635.24