Finding the Third Proportional to 35,124 and 75,928

Step by Step Solution

1. Step 1: Write the proportion equation
   35,124 : 75,928 = 75,928 : x
2. Step 2: Convert to fraction form
   35,124/75,928 = 75,928/x
3. Step 3: Cross multiply
   35,124x = 75,928 × 75,928
4. Step 4: Simplify right side
   35,124x = 5,765,061,184
5. Step 5: Solve for x
   x = 5,765,061,184/35,124
6. Step 6: Final answer
   x = 164,134.53