Finding the Third Proportional to 11,580 and 17,912

Step by Step Solution

1. Step 1: Write the proportion equation
   11,580 : 17,912 = 17,912 : x
2. Step 2: Convert to fraction form
   11,580/17,912 = 17,912/x
3. Step 3: Cross multiply
   11,580x = 17,912 × 17,912
4. Step 4: Simplify right side
   11,580x = 320,839,744
5. Step 5: Solve for x
   x = 320,839,744/11,580
6. Step 6: Final answer
   x = 27,706.37