Finding the Third Proportional to 11,632 and 16,936

Step by Step Solution

1. Step 1: Write the proportion equation
   11,632 : 16,936 = 16,936 : x
2. Step 2: Convert to fraction form
   11,632/16,936 = 16,936/x
3. Step 3: Cross multiply
   11,632x = 16,936 × 16,936
4. Step 4: Simplify right side
   11,632x = 286,828,096
5. Step 5: Solve for x
   x = 286,828,096/11,632
6. Step 6: Final answer
   x = 24,658.54