Finding the Third Proportional to 48,496 and 65,824

Step by Step Solution

1. Step 1: Write the proportion equation
   48,496 : 65,824 = 65,824 : x
2. Step 2: Convert to fraction form
   48,496/65,824 = 65,824/x
3. Step 3: Cross multiply
   48,496x = 65,824 × 65,824
4. Step 4: Simplify right side
   48,496x = 4,332,798,976
5. Step 5: Solve for x
   x = 4,332,798,976/48,496
6. Step 6: Final answer
   x = 89,343.43