Finding the Third Proportional to 11,526 and 17,801

Step by Step Solution

1. Step 1: Write the proportion equation
   11,526 : 17,801 = 17,801 : x
2. Step 2: Convert to fraction form
   11,526/17,801 = 17,801/x
3. Step 3: Cross multiply
   11,526x = 17,801 × 17,801
4. Step 4: Simplify right side
   11,526x = 316,875,601
5. Step 5: Solve for x
   x = 316,875,601/11,526
6. Step 6: Final answer
   x = 27,492.24