Finding the Third Proportional to 16,586 and 23,199

Step by Step Solution

1. Step 1: Write the proportion equation
   16,586 : 23,199 = 23,199 : x
2. Step 2: Convert to fraction form
   16,586/23,199 = 23,199/x
3. Step 3: Cross multiply
   16,586x = 23,199 × 23,199
4. Step 4: Simplify right side
   16,586x = 538,193,601
5. Step 5: Solve for x
   x = 538,193,601/16,586
6. Step 6: Final answer
   x = 32,448.67