Finding the Third Proportional to 17,942 and 38,744

Step by Step Solution

1. Step 1: Write the proportion equation
   17,942 : 38,744 = 38,744 : x
2. Step 2: Convert to fraction form
   17,942/38,744 = 38,744/x
3. Step 3: Cross multiply
   17,942x = 38,744 × 38,744
4. Step 4: Simplify right side
   17,942x = 1,501,097,536
5. Step 5: Solve for x
   x = 1,501,097,536/17,942
6. Step 6: Final answer
   x = 83,663.89