Finding the Third Proportional to 1,770.50 and 3,890.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,770.50 : 3,890.50 = 3,890.50 : x
2. Step 2: Convert to fraction form
   1,770.50/3,890.50 = 3,890.50/x
3. Step 3: Cross multiply
   1,770.50x = 3,890.50 × 3,890.50
4. Step 4: Simplify right side
   1,770.50x = 15,135,990.25
5. Step 5: Solve for x
   x = 15,135,990.25/1,770.50
6. Step 6: Final answer
   x = 8,548.99