Finding the Third Proportional to 1,770.50 and 3,742

Step by Step Solution

1. Step 1: Write the proportion equation
   1,770.50 : 3,742 = 3,742 : x
2. Step 2: Convert to fraction form
   1,770.50/3,742 = 3,742/x
3. Step 3: Cross multiply
   1,770.50x = 3,742 × 3,742
4. Step 4: Simplify right side
   1,770.50x = 14,002,564
5. Step 5: Solve for x
   x = 14,002,564/1,770.50
6. Step 6: Final answer
   x = 7,908.82