Finding the Third Proportional to 1,776.09 and 3,795.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.09 : 3,795.61 = 3,795.61 : x
2. Step 2: Convert to fraction form
   1,776.09/3,795.61 = 3,795.61/x
3. Step 3: Cross multiply
   1,776.09x = 3,795.61 × 3,795.61
4. Step 4: Simplify right side
   1,776.09x = 14,406,650.53
5. Step 5: Solve for x
   x = 14,406,650.53/1,776.09
6. Step 6: Final answer
   x = 8,111.42