Finding the Third Proportional to 10,356 and 12,597

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356 : 12,597 = 12,597 : x
2. Step 2: Convert to fraction form
   10,356/12,597 = 12,597/x
3. Step 3: Cross multiply
   10,356x = 12,597 × 12,597
4. Step 4: Simplify right side
   10,356x = 158,684,409
5. Step 5: Solve for x
   x = 158,684,409/10,356
6. Step 6: Final answer
   x = 15,322.94