Finding the Third Proportional to 65,346 and 96,105

Step by Step Solution

1. Step 1: Write the proportion equation
   65,346 : 96,105 = 96,105 : x
2. Step 2: Convert to fraction form
   65,346/96,105 = 96,105/x
3. Step 3: Cross multiply
   65,346x = 96,105 × 96,105
4. Step 4: Simplify right side
   65,346x = 9,236,171,025
5. Step 5: Solve for x
   x = 9,236,171,025/65,346
6. Step 6: Final answer
   x = 141,342.56