Finding the Third Proportional to 11,724 and 27,659

Step by Step Solution

1. Step 1: Write the proportion equation
   11,724 : 27,659 = 27,659 : x
2. Step 2: Convert to fraction form
   11,724/27,659 = 27,659/x
3. Step 3: Cross multiply
   11,724x = 27,659 × 27,659
4. Step 4: Simplify right side
   11,724x = 765,020,281
5. Step 5: Solve for x
   x = 765,020,281/11,724
6. Step 6: Final answer
   x = 65,252.50