Finding the Third Proportional to 10,864 and 23,597

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864 : 23,597 = 23,597 : x
2. Step 2: Convert to fraction form
   10,864/23,597 = 23,597/x
3. Step 3: Cross multiply
   10,864x = 23,597 × 23,597
4. Step 4: Simplify right side
   10,864x = 556,818,409
5. Step 5: Solve for x
   x = 556,818,409/10,864
6. Step 6: Final answer
   x = 51,253.54