Finding the Third Proportional to 45,644 and 70,128

Step by Step Solution

1. Step 1: Write the proportion equation
   45,644 : 70,128 = 70,128 : x
2. Step 2: Convert to fraction form
   45,644/70,128 = 70,128/x
3. Step 3: Cross multiply
   45,644x = 70,128 × 70,128
4. Step 4: Simplify right side
   45,644x = 4,917,936,384
5. Step 5: Solve for x
   x = 4,917,936,384/45,644
6. Step 6: Final answer
   x = 107,745.52