Finding the Third Proportional to 9,916 and 14,601

Step by Step Solution

1. Step 1: Write the proportion equation
   9,916 : 14,601 = 14,601 : x
2. Step 2: Convert to fraction form
   9,916/14,601 = 14,601/x
3. Step 3: Cross multiply
   9,916x = 14,601 × 14,601
4. Step 4: Simplify right side
   9,916x = 213,189,201
5. Step 5: Solve for x
   x = 213,189,201/9,916
6. Step 6: Final answer
   x = 21,499.52