Finding the Third Proportional to 10,634 and 19,942

Step by Step Solution

1. Step 1: Write the proportion equation
   10,634 : 19,942 = 19,942 : x
2. Step 2: Convert to fraction form
   10,634/19,942 = 19,942/x
3. Step 3: Cross multiply
   10,634x = 19,942 × 19,942
4. Step 4: Simplify right side
   10,634x = 397,683,364
5. Step 5: Solve for x
   x = 397,683,364/10,634
6. Step 6: Final answer
   x = 37,397.34