Finding the Third Proportional to 56,064 and 84,096

Step by Step Solution

1. Step 1: Write the proportion equation
   56,064 : 84,096 = 84,096 : x
2. Step 2: Convert to fraction form
   56,064/84,096 = 84,096/x
3. Step 3: Cross multiply
   56,064x = 84,096 × 84,096
4. Step 4: Simplify right side
   56,064x = 7,072,137,216
5. Step 5: Solve for x
   x = 7,072,137,216/56,064
6. Step 6: Final answer
   x = 126,144