Finding the Third Proportional to 67,536 and 101,340

Step by Step Solution

1. Step 1: Write the proportion equation
   67,536 : 101,340 = 101,340 : x
2. Step 2: Convert to fraction form
   67,536/101,340 = 101,340/x
3. Step 3: Cross multiply
   67,536x = 101,340 × 101,340
4. Step 4: Simplify right side
   67,536x = 10,269,795,600
5. Step 5: Solve for x
   x = 10,269,795,600/67,536
6. Step 6: Final answer
   x = 152,064.02