Finding the Third Proportional to 1,782.56 and 3,776.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.56 : 3,776.63 = 3,776.63 : x
2. Step 2: Convert to fraction form
   1,782.56/3,776.63 = 3,776.63/x
3. Step 3: Cross multiply
   1,782.56x = 3,776.63 × 3,776.63
4. Step 4: Simplify right side
   1,782.56x = 14,262,896.39
5. Step 5: Solve for x
   x = 14,262,896.39/1,782.56
6. Step 6: Final answer
   x = 8,001.34