Finding the Third Proportional to 42,858 and 64,245

Step by Step Solution

1. Step 1: Write the proportion equation
   42,858 : 64,245 = 64,245 : x
2. Step 2: Convert to fraction form
   42,858/64,245 = 64,245/x
3. Step 3: Cross multiply
   42,858x = 64,245 × 64,245
4. Step 4: Simplify right side
   42,858x = 4,127,420,025
5. Step 5: Solve for x
   x = 4,127,420,025/42,858
6. Step 6: Final answer
   x = 96,304.54