Finding the Third Proportional to 75,648 and 101,760

Step by Step Solution

1. Step 1: Write the proportion equation
   75,648 : 101,760 = 101,760 : x
2. Step 2: Convert to fraction form
   75,648/101,760 = 101,760/x
3. Step 3: Cross multiply
   75,648x = 101,760 × 101,760
4. Step 4: Simplify right side
   75,648x = 10,355,097,600
5. Step 5: Solve for x
   x = 10,355,097,600/75,648
6. Step 6: Final answer
   x = 136,885.28