Finding the Third Proportional to 35,826 and 78,128

Step by Step Solution

1. Step 1: Write the proportion equation
   35,826 : 78,128 = 78,128 : x
2. Step 2: Convert to fraction form
   35,826/78,128 = 78,128/x
3. Step 3: Cross multiply
   35,826x = 78,128 × 78,128
4. Step 4: Simplify right side
   35,826x = 6,103,984,384
5. Step 5: Solve for x
   x = 6,103,984,384/35,826
6. Step 6: Final answer
   x = 170,378.62