Finding the Third Proportional to 67,584 and 101,376

Step by Step Solution

1. Step 1: Write the proportion equation
   67,584 : 101,376 = 101,376 : x
2. Step 2: Convert to fraction form
   67,584/101,376 = 101,376/x
3. Step 3: Cross multiply
   67,584x = 101,376 × 101,376
4. Step 4: Simplify right side
   67,584x = 10,277,093,376
5. Step 5: Solve for x
   x = 10,277,093,376/67,584
6. Step 6: Final answer
   x = 152,064