Finding the Third Proportional to 1,802.50 and 3,882.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,802.50 : 3,882.25 = 3,882.25 : x
2. Step 2: Convert to fraction form
   1,802.50/3,882.25 = 3,882.25/x
3. Step 3: Cross multiply
   1,802.50x = 3,882.25 × 3,882.25
4. Step 4: Simplify right side
   1,802.50x = 15,071,865.06
5. Step 5: Solve for x
   x = 15,071,865.06/1,802.50
6. Step 6: Final answer
   x = 8,361.64