Finding the Third Proportional to 35,904 and 78,096

Step by Step Solution

1. Step 1: Write the proportion equation
   35,904 : 78,096 = 78,096 : x
2. Step 2: Convert to fraction form
   35,904/78,096 = 78,096/x
3. Step 3: Cross multiply
   35,904x = 78,096 × 78,096
4. Step 4: Simplify right side
   35,904x = 6,098,985,216
5. Step 5: Solve for x
   x = 6,098,985,216/35,904
6. Step 6: Final answer
   x = 169,869.24