Finding the Third Proportional to 9,116 and 14,506

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116 : 14,506 = 14,506 : x
2. Step 2: Convert to fraction form
   9,116/14,506 = 14,506/x
3. Step 3: Cross multiply
   9,116x = 14,506 × 14,506
4. Step 4: Simplify right side
   9,116x = 210,424,036
5. Step 5: Solve for x
   x = 210,424,036/9,116
6. Step 6: Final answer
   x = 23,082.94