Finding the Third Proportional to 10,606 and 15,152

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606 : 15,152 = 15,152 : x
2. Step 2: Convert to fraction form
   10,606/15,152 = 15,152/x
3. Step 3: Cross multiply
   10,606x = 15,152 × 15,152
4. Step 4: Simplify right side
   10,606x = 229,583,104
5. Step 5: Solve for x
   x = 229,583,104/10,606
6. Step 6: Final answer
   x = 21,646.53