Finding the Third Proportional to 48,762 and 72,824

Step by Step Solution

1. Step 1: Write the proportion equation
   48,762 : 72,824 = 72,824 : x
2. Step 2: Convert to fraction form
   48,762/72,824 = 72,824/x
3. Step 3: Cross multiply
   48,762x = 72,824 × 72,824
4. Step 4: Simplify right side
   48,762x = 5,303,334,976
5. Step 5: Solve for x
   x = 5,303,334,976/48,762
6. Step 6: Final answer
   x = 108,759.59