Finding the Third Proportional to 10,602 and 15,146

Step by Step Solution

1. Step 1: Write the proportion equation
   10,602 : 15,146 = 15,146 : x
2. Step 2: Convert to fraction form
   10,602/15,146 = 15,146/x
3. Step 3: Cross multiply
   10,602x = 15,146 × 15,146
4. Step 4: Simplify right side
   10,602x = 229,401,316
5. Step 5: Solve for x
   x = 229,401,316/10,602
6. Step 6: Final answer
   x = 21,637.55