Finding the Third Proportional to 8,507 and 13,085

Step by Step Solution

1. Step 1: Write the proportion equation
   8,507 : 13,085 = 13,085 : x
2. Step 2: Convert to fraction form
   8,507/13,085 = 13,085/x
3. Step 3: Cross multiply
   8,507x = 13,085 × 13,085
4. Step 4: Simplify right side
   8,507x = 171,217,225
5. Step 5: Solve for x
   x = 171,217,225/8,507
6. Step 6: Final answer
   x = 20,126.63