Finding the Third Proportional to 19,340 and 30,738

Step by Step Solution

1. Step 1: Write the proportion equation
   19,340 : 30,738 = 30,738 : x
2. Step 2: Convert to fraction form
   19,340/30,738 = 30,738/x
3. Step 3: Cross multiply
   19,340x = 30,738 × 30,738
4. Step 4: Simplify right side
   19,340x = 944,824,644
5. Step 5: Solve for x
   x = 944,824,644/19,340
6. Step 6: Final answer
   x = 48,853.39