Finding the Third Proportional to 5,588 and 10,340

Step by Step Solution

1. Step 1: Write the proportion equation
   5,588 : 10,340 = 10,340 : x
2. Step 2: Convert to fraction form
   5,588/10,340 = 10,340/x
3. Step 3: Cross multiply
   5,588x = 10,340 × 10,340
4. Step 4: Simplify right side
   5,588x = 106,915,600
5. Step 5: Solve for x
   x = 106,915,600/5,588
6. Step 6: Final answer
   x = 19,133.07