Finding the Third Proportional to 4,557.50 and 5,984

Step by Step Solution

1. Step 1: Write the proportion equation
   4,557.50 : 5,984 = 5,984 : x
2. Step 2: Convert to fraction form
   4,557.50/5,984 = 5,984/x
3. Step 3: Cross multiply
   4,557.50x = 5,984 × 5,984
4. Step 4: Simplify right side
   4,557.50x = 35,808,256
5. Step 5: Solve for x
   x = 35,808,256/4,557.50
6. Step 6: Final answer
   x = 7,857.00