Finding the Third Proportional to 1,781.58 and 3,870.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,781.58 : 3,870.70 = 3,870.70 : x
2. Step 2: Convert to fraction form
   1,781.58/3,870.70 = 3,870.70/x
3. Step 3: Cross multiply
   1,781.58x = 3,870.70 × 3,870.70
4. Step 4: Simplify right side
   1,781.58x = 14,982,342.68
5. Step 5: Solve for x
   x = 14,982,342.68/1,781.58
6. Step 6: Final answer
   x = 8,409.59