Finding the Third Proportional to 10,588 and 17,880

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588 : 17,880 = 17,880 : x
2. Step 2: Convert to fraction form
   10,588/17,880 = 17,880/x
3. Step 3: Cross multiply
   10,588x = 17,880 × 17,880
4. Step 4: Simplify right side
   10,588x = 319,694,400
5. Step 5: Solve for x
   x = 319,694,400/10,588
6. Step 6: Final answer
   x = 30,194.03