Finding the Third Proportional to 10,164 and 15,442

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164 : 15,442 = 15,442 : x
2. Step 2: Convert to fraction form
   10,164/15,442 = 15,442/x
3. Step 3: Cross multiply
   10,164x = 15,442 × 15,442
4. Step 4: Simplify right side
   10,164x = 238,455,364
5. Step 5: Solve for x
   x = 238,455,364/10,164
6. Step 6: Final answer
   x = 23,460.78