Finding the Third Proportional to 67,500 and 100,692

Step by Step Solution

1. Step 1: Write the proportion equation
   67,500 : 100,692 = 100,692 : x
2. Step 2: Convert to fraction form
   67,500/100,692 = 100,692/x
3. Step 3: Cross multiply
   67,500x = 100,692 × 100,692
4. Step 4: Simplify right side
   67,500x = 10,138,878,864
5. Step 5: Solve for x
   x = 10,138,878,864/67,500
6. Step 6: Final answer
   x = 150,205.61