Finding the Third Proportional to 1,802.81 and 3,902.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,802.81 : 3,902.06 = 3,902.06 : x
2. Step 2: Convert to fraction form
   1,802.81/3,902.06 = 3,902.06/x
3. Step 3: Cross multiply
   1,802.81x = 3,902.06 × 3,902.06
4. Step 4: Simplify right side
   1,802.81x = 15,226,091.75
5. Step 5: Solve for x
   x = 15,226,091.75/1,802.81
6. Step 6: Final answer
   x = 8,445.74