Finding the Third Proportional to 1,732.50 and 3,789

Step by Step Solution

1. Step 1: Write the proportion equation
   1,732.50 : 3,789 = 3,789 : x
2. Step 2: Convert to fraction form
   1,732.50/3,789 = 3,789/x
3. Step 3: Cross multiply
   1,732.50x = 3,789 × 3,789
4. Step 4: Simplify right side
   1,732.50x = 14,356,521
5. Step 5: Solve for x
   x = 14,356,521/1,732.50
6. Step 6: Final answer
   x = 8,286.59