Finding the Third Proportional to 10,342 and 19,574

Step by Step Solution

1. Step 1: Write the proportion equation
   10,342 : 19,574 = 19,574 : x
2. Step 2: Convert to fraction form
   10,342/19,574 = 19,574/x
3. Step 3: Cross multiply
   10,342x = 19,574 × 19,574
4. Step 4: Simplify right side
   10,342x = 383,141,476
5. Step 5: Solve for x
   x = 383,141,476/10,342
6. Step 6: Final answer
   x = 37,047.14