Finding the Third Proportional to 11,556 and 23,659

Step by Step Solution

1. Step 1: Write the proportion equation
   11,556 : 23,659 = 23,659 : x
2. Step 2: Convert to fraction form
   11,556/23,659 = 23,659/x
3. Step 3: Cross multiply
   11,556x = 23,659 × 23,659
4. Step 4: Simplify right side
   11,556x = 559,748,281
5. Step 5: Solve for x
   x = 559,748,281/11,556
6. Step 6: Final answer
   x = 48,437.89