Finding the Third Proportional to 5,932.50 and 7,014

Step by Step Solution

1. Step 1: Write the proportion equation
   5,932.50 : 7,014 = 7,014 : x
2. Step 2: Convert to fraction form
   5,932.50/7,014 = 7,014/x
3. Step 3: Cross multiply
   5,932.50x = 7,014 × 7,014
4. Step 4: Simplify right side
   5,932.50x = 49,196,196
5. Step 5: Solve for x
   x = 49,196,196/5,932.50
6. Step 6: Final answer
   x = 8,292.66