Finding the Third Proportional to 65,835 and 102,096

Step by Step Solution

1. Step 1: Write the proportion equation
   65,835 : 102,096 = 102,096 : x
2. Step 2: Convert to fraction form
   65,835/102,096 = 102,096/x
3. Step 3: Cross multiply
   65,835x = 102,096 × 102,096
4. Step 4: Simplify right side
   65,835x = 10,423,593,216
5. Step 5: Solve for x
   x = 10,423,593,216/65,835
6. Step 6: Final answer
   x = 158,329.05