Finding the Third Proportional to 9,162 and 13,737

Step by Step Solution

1. Step 1: Write the proportion equation
   9,162 : 13,737 = 13,737 : x
2. Step 2: Convert to fraction form
   9,162/13,737 = 13,737/x
3. Step 3: Cross multiply
   9,162x = 13,737 × 13,737
4. Step 4: Simplify right side
   9,162x = 188,705,169
5. Step 5: Solve for x
   x = 188,705,169/9,162
6. Step 6: Final answer
   x = 20,596.50