Finding the Third Proportional to 42,858 and 64,032

Step by Step Solution

1. Step 1: Write the proportion equation
   42,858 : 64,032 = 64,032 : x
2. Step 2: Convert to fraction form
   42,858/64,032 = 64,032/x
3. Step 3: Cross multiply
   42,858x = 64,032 × 64,032
4. Step 4: Simplify right side
   42,858x = 4,100,097,024
5. Step 5: Solve for x
   x = 4,100,097,024/42,858
6. Step 6: Final answer
   x = 95,667.02