Finding the Third Proportional to 42,816 and 64,104

Step by Step Solution

1. Step 1: Write the proportion equation
   42,816 : 64,104 = 64,104 : x
2. Step 2: Convert to fraction form
   42,816/64,104 = 64,104/x
3. Step 3: Cross multiply
   42,816x = 64,104 × 64,104
4. Step 4: Simplify right side
   42,816x = 4,109,322,816
5. Step 5: Solve for x
   x = 4,109,322,816/42,816
6. Step 6: Final answer
   x = 95,976.34