Finding the Third Proportional to 42,768 and 64,152

Step by Step Solution

1. Step 1: Write the proportion equation
   42,768 : 64,152 = 64,152 : x
2. Step 2: Convert to fraction form
   42,768/64,152 = 64,152/x
3. Step 3: Cross multiply
   42,768x = 64,152 × 64,152
4. Step 4: Simplify right side
   42,768x = 4,115,479,104
5. Step 5: Solve for x
   x = 4,115,479,104/42,768
6. Step 6: Final answer
   x = 96,228