Finding the Third Proportional to 11,466 and 17,781

Step by Step Solution

1. Step 1: Write the proportion equation
   11,466 : 17,781 = 17,781 : x
2. Step 2: Convert to fraction form
   11,466/17,781 = 17,781/x
3. Step 3: Cross multiply
   11,466x = 17,781 × 17,781
4. Step 4: Simplify right side
   11,466x = 316,163,961
5. Step 5: Solve for x
   x = 316,163,961/11,466
6. Step 6: Final answer
   x = 27,574.04