Finding the Third Proportional to 8,738 and 13,507

Step by Step Solution

1. Step 1: Write the proportion equation
   8,738 : 13,507 = 13,507 : x
2. Step 2: Convert to fraction form
   8,738/13,507 = 13,507/x
3. Step 3: Cross multiply
   8,738x = 13,507 × 13,507
4. Step 4: Simplify right side
   8,738x = 182,439,049
5. Step 5: Solve for x
   x = 182,439,049/8,738
6. Step 6: Final answer
   x = 20,878.81