Finding the Third Proportional to 1,811.81 and 3,780.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,811.81 : 3,780.56 = 3,780.56 : x
2. Step 2: Convert to fraction form
   1,811.81/3,780.56 = 3,780.56/x
3. Step 3: Cross multiply
   1,811.81x = 3,780.56 × 3,780.56
4. Step 4: Simplify right side
   1,811.81x = 14,292,652.82
5. Step 5: Solve for x
   x = 14,292,652.82/1,811.81
6. Step 6: Final answer
   x = 7,888.59