Finding the Third Proportional to 3,783.50 and 5,297

Step by Step Solution

1. Step 1: Write the proportion equation
   3,783.50 : 5,297 = 5,297 : x
2. Step 2: Convert to fraction form
   3,783.50/5,297 = 5,297/x
3. Step 3: Cross multiply
   3,783.50x = 5,297 × 5,297
4. Step 4: Simplify right side
   3,783.50x = 28,058,209
5. Step 5: Solve for x
   x = 28,058,209/3,783.50
6. Step 6: Final answer
   x = 7,415.94