Finding the Third Proportional to 67,284 and 102,564

Step by Step Solution

1. Step 1: Write the proportion equation
   67,284 : 102,564 = 102,564 : x
2. Step 2: Convert to fraction form
   67,284/102,564 = 102,564/x
3. Step 3: Cross multiply
   67,284x = 102,564 × 102,564
4. Step 4: Simplify right side
   67,284x = 10,519,374,096
5. Step 5: Solve for x
   x = 10,519,374,096/67,284
6. Step 6: Final answer
   x = 156,342.88