Finding the Third Proportional to 54,398 and 76,607

Step by Step Solution

1. Step 1: Write the proportion equation
   54,398 : 76,607 = 76,607 : x
2. Step 2: Convert to fraction form
   54,398/76,607 = 76,607/x
3. Step 3: Cross multiply
   54,398x = 76,607 × 76,607
4. Step 4: Simplify right side
   54,398x = 5,868,632,449
5. Step 5: Solve for x
   x = 5,868,632,449/54,398
6. Step 6: Final answer
   x = 107,883.24