Finding the Third Proportional to 1,770.56 and 3,876.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,770.56 : 3,876.94 = 3,876.94 : x
2. Step 2: Convert to fraction form
   1,770.56/3,876.94 = 3,876.94/x
3. Step 3: Cross multiply
   1,770.56x = 3,876.94 × 3,876.94
4. Step 4: Simplify right side
   1,770.56x = 15,030,644.38
5. Step 5: Solve for x
   x = 15,030,644.38/1,770.56
6. Step 6: Final answer
   x = 8,489.19