Finding the Third Proportional to 9,116 and 14,886

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116 : 14,886 = 14,886 : x
2. Step 2: Convert to fraction form
   9,116/14,886 = 14,886/x
3. Step 3: Cross multiply
   9,116x = 14,886 × 14,886
4. Step 4: Simplify right side
   9,116x = 221,592,996
5. Step 5: Solve for x
   x = 221,592,996/9,116
6. Step 6: Final answer
   x = 24,308.14