Finding the Third Proportional to 19,096 and 38,730

Step by Step Solution

1. Step 1: Write the proportion equation
   19,096 : 38,730 = 38,730 : x
2. Step 2: Convert to fraction form
   19,096/38,730 = 38,730/x
3. Step 3: Cross multiply
   19,096x = 38,730 × 38,730
4. Step 4: Simplify right side
   19,096x = 1,500,012,900
5. Step 5: Solve for x
   x = 1,500,012,900/19,096
6. Step 6: Final answer
   x = 78,551.16