Finding the Third Proportional to 5,588 and 9,300

Step by Step Solution

1. Step 1: Write the proportion equation
   5,588 : 9,300 = 9,300 : x
2. Step 2: Convert to fraction form
   5,588/9,300 = 9,300/x
3. Step 3: Cross multiply
   5,588x = 9,300 × 9,300
4. Step 4: Simplify right side
   5,588x = 86,490,000
5. Step 5: Solve for x
   x = 86,490,000/5,588
6. Step 6: Final answer
   x = 15,477.81