Finding the Third Proportional to 1,777.50 and 4,676.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,777.50 : 4,676.63 = 4,676.63 : x
2. Step 2: Convert to fraction form
   1,777.50/4,676.63 = 4,676.63/x
3. Step 3: Cross multiply
   1,777.50x = 4,676.63 × 4,676.63
4. Step 4: Simplify right side
   1,777.50x = 21,870,821.39
5. Step 5: Solve for x
   x = 21,870,821.39/1,777.50
6. Step 6: Final answer
   x = 12,304.26