Finding the Third Proportional to 35,726 and 76,189

Step by Step Solution

1. Step 1: Write the proportion equation
   35,726 : 76,189 = 76,189 : x
2. Step 2: Convert to fraction form
   35,726/76,189 = 76,189/x
3. Step 3: Cross multiply
   35,726x = 76,189 × 76,189
4. Step 4: Simplify right side
   35,726x = 5,804,763,721
5. Step 5: Solve for x
   x = 5,804,763,721/35,726
6. Step 6: Final answer
   x = 162,480.09