Finding the Third Proportional to 30,096 and 45,792

Step by Step Solution

1. Step 1: Write the proportion equation
   30,096 : 45,792 = 45,792 : x
2. Step 2: Convert to fraction form
   30,096/45,792 = 45,792/x
3. Step 3: Cross multiply
   30,096x = 45,792 × 45,792
4. Step 4: Simplify right side
   30,096x = 2,096,907,264
5. Step 5: Solve for x
   x = 2,096,907,264/30,096
6. Step 6: Final answer
   x = 69,673.95