Finding the Third Proportional to 1,802.25 and 3,837.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,802.25 : 3,837.38 = 3,837.38 : x
2. Step 2: Convert to fraction form
   1,802.25/3,837.38 = 3,837.38/x
3. Step 3: Cross multiply
   1,802.25x = 3,837.38 × 3,837.38
4. Step 4: Simplify right side
   1,802.25x = 14,725,446.89
5. Step 5: Solve for x
   x = 14,725,446.89/1,802.25
6. Step 6: Final answer
   x = 8,170.59