Finding the Third Proportional to 2,967.50 and 4,168

Step by Step Solution

1. Step 1: Write the proportion equation
   2,967.50 : 4,168 = 4,168 : x
2. Step 2: Convert to fraction form
   2,967.50/4,168 = 4,168/x
3. Step 3: Cross multiply
   2,967.50x = 4,168 × 4,168
4. Step 4: Simplify right side
   2,967.50x = 17,372,224
5. Step 5: Solve for x
   x = 17,372,224/2,967.50
6. Step 6: Final answer
   x = 5,854.16