Finding the Third Proportional to 1,806.19 and 3,781.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,806.19 : 3,781.69 = 3,781.69 : x
2. Step 2: Convert to fraction form
   1,806.19/3,781.69 = 3,781.69/x
3. Step 3: Cross multiply
   1,806.19x = 3,781.69 × 3,781.69
4. Step 4: Simplify right side
   1,806.19x = 14,301,160.35
5. Step 5: Solve for x
   x = 14,301,160.35/1,806.19
6. Step 6: Final answer
   x = 7,917.87