Finding the Third Proportional to 35,928 and 78,912

Step by Step Solution

1. Step 1: Write the proportion equation
   35,928 : 78,912 = 78,912 : x
2. Step 2: Convert to fraction form
   35,928/78,912 = 78,912/x
3. Step 3: Cross multiply
   35,928x = 78,912 × 78,912
4. Step 4: Simplify right side
   35,928x = 6,227,103,744
5. Step 5: Solve for x
   x = 6,227,103,744/35,928
6. Step 6: Final answer
   x = 173,321.75