Finding the Third Proportional to 10,160 and 19,042

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160 : 19,042 = 19,042 : x
2. Step 2: Convert to fraction form
   10,160/19,042 = 19,042/x
3. Step 3: Cross multiply
   10,160x = 19,042 × 19,042
4. Step 4: Simplify right side
   10,160x = 362,597,764
5. Step 5: Solve for x
   x = 362,597,764/10,160
6. Step 6: Final answer
   x = 35,688.76