Finding the Third Proportional to 30,792 and 45,984

Step by Step Solution

1. Step 1: Write the proportion equation
   30,792 : 45,984 = 45,984 : x
2. Step 2: Convert to fraction form
   30,792/45,984 = 45,984/x
3. Step 3: Cross multiply
   30,792x = 45,984 × 45,984
4. Step 4: Simplify right side
   30,792x = 2,114,528,256
5. Step 5: Solve for x
   x = 2,114,528,256/30,792
6. Step 6: Final answer
   x = 68,671.35