Finding the Third Proportional to 10,037 and 13,597

Step by Step Solution

1. Step 1: Write the proportion equation
   10,037 : 13,597 = 13,597 : x
2. Step 2: Convert to fraction form
   10,037/13,597 = 13,597/x
3. Step 3: Cross multiply
   10,037x = 13,597 × 13,597
4. Step 4: Simplify right side
   10,037x = 184,878,409
5. Step 5: Solve for x
   x = 184,878,409/10,037
6. Step 6: Final answer
   x = 18,419.69