Finding the Third Proportional to 11,456 and 20,536

Step by Step Solution

1. Step 1: Write the proportion equation
   11,456 : 20,536 = 20,536 : x
2. Step 2: Convert to fraction form
   11,456/20,536 = 20,536/x
3. Step 3: Cross multiply
   11,456x = 20,536 × 20,536
4. Step 4: Simplify right side
   11,456x = 421,727,296
5. Step 5: Solve for x
   x = 421,727,296/11,456
6. Step 6: Final answer
   x = 36,812.79