Finding the Third Proportional to 11,550 and 17,913

Step by Step Solution

1. Step 1: Write the proportion equation
   11,550 : 17,913 = 17,913 : x
2. Step 2: Convert to fraction form
   11,550/17,913 = 17,913/x
3. Step 3: Cross multiply
   11,550x = 17,913 × 17,913
4. Step 4: Simplify right side
   11,550x = 320,875,569
5. Step 5: Solve for x
   x = 320,875,569/11,550
6. Step 6: Final answer
   x = 27,781.43