Finding the Third Proportional to 72,144 and 102,960

Step by Step Solution

1. Step 1: Write the proportion equation
   72,144 : 102,960 = 102,960 : x
2. Step 2: Convert to fraction form
   72,144/102,960 = 102,960/x
3. Step 3: Cross multiply
   72,144x = 102,960 × 102,960
4. Step 4: Simplify right side
   72,144x = 10,600,761,600
5. Step 5: Solve for x
   x = 10,600,761,600/72,144
6. Step 6: Final answer
   x = 146,938.92