Finding the Third Proportional to 3,565.27 and 7,802.58

Step by Step Solution

1. Step 1: Write the proportion equation
   3,565.27 : 7,802.58 = 7,802.58 : x
2. Step 2: Convert to fraction form
   3,565.27/7,802.58 = 7,802.58/x
3. Step 3: Cross multiply
   3,565.27x = 7,802.58 × 7,802.58
4. Step 4: Simplify right side
   3,565.27x = 60,880,225.40
5. Step 5: Solve for x
   x = 60,880,225.40/3,565.27
6. Step 6: Final answer
   x = 17,075.93