Finding the Third Proportional to 5,588 and 13,250

Step by Step Solution

1. Step 1: Write the proportion equation
   5,588 : 13,250 = 13,250 : x
2. Step 2: Convert to fraction form
   5,588/13,250 = 13,250/x
3. Step 3: Cross multiply
   5,588x = 13,250 × 13,250
4. Step 4: Simplify right side
   5,588x = 175,562,500
5. Step 5: Solve for x
   x = 175,562,500/5,588
6. Step 6: Final answer
   x = 31,417.77