Finding the Third Proportional to 1,678.22 and 3,777.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,678.22 : 3,777.89 = 3,777.89 : x
2. Step 2: Convert to fraction form
   1,678.22/3,777.89 = 3,777.89/x
3. Step 3: Cross multiply
   1,678.22x = 3,777.89 × 3,777.89
4. Step 4: Simplify right side
   1,678.22x = 14,272,457.57
5. Step 5: Solve for x
   x = 14,272,457.57/1,678.22
6. Step 6: Final answer
   x = 8,504.53