Finding the Third Proportional to 4,032 and 5,300

Step by Step Solution

1. Step 1: Write the proportion equation
   4,032 : 5,300 = 5,300 : x
2. Step 2: Convert to fraction form
   4,032/5,300 = 5,300/x
3. Step 3: Cross multiply
   4,032x = 5,300 × 5,300
4. Step 4: Simplify right side
   4,032x = 28,090,000
5. Step 5: Solve for x
   x = 28,090,000/4,032
6. Step 6: Final answer
   x = 6,966.77