Finding the Third Proportional to 19,384 and 30,746

Step by Step Solution

1. Step 1: Write the proportion equation
   19,384 : 30,746 = 30,746 : x
2. Step 2: Convert to fraction form
   19,384/30,746 = 30,746/x
3. Step 3: Cross multiply
   19,384x = 30,746 × 30,746
4. Step 4: Simplify right side
   19,384x = 945,316,516
5. Step 5: Solve for x
   x = 945,316,516/19,384
6. Step 6: Final answer
   x = 48,767.88