Finding the Third Proportional to 1,792.63 and 3,802.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,792.63 : 3,802.88 = 3,802.88 : x
2. Step 2: Convert to fraction form
   1,792.63/3,802.88 = 3,802.88/x
3. Step 3: Cross multiply
   1,792.63x = 3,802.88 × 3,802.88
4. Step 4: Simplify right side
   1,792.63x = 14,461,858.27
5. Step 5: Solve for x
   x = 14,461,858.27/1,792.63
6. Step 6: Final answer
   x = 8,067.42