Finding the Third Proportional to 11,218 and 23,597

Step by Step Solution

1. Step 1: Write the proportion equation
   11,218 : 23,597 = 23,597 : x
2. Step 2: Convert to fraction form
   11,218/23,597 = 23,597/x
3. Step 3: Cross multiply
   11,218x = 23,597 × 23,597
4. Step 4: Simplify right side
   11,218x = 556,818,409
5. Step 5: Solve for x
   x = 556,818,409/11,218
6. Step 6: Final answer
   x = 49,636.16