Finding the Third Proportional to 11,563 and 17,428

Step by Step Solution

1. Step 1: Write the proportion equation
   11,563 : 17,428 = 17,428 : x
2. Step 2: Convert to fraction form
   11,563/17,428 = 17,428/x
3. Step 3: Cross multiply
   11,563x = 17,428 × 17,428
4. Step 4: Simplify right side
   11,563x = 303,735,184
5. Step 5: Solve for x
   x = 303,735,184/11,563
6. Step 6: Final answer
   x = 26,267.85