Finding the Third Proportional to 35,789 and 76,186

Step by Step Solution

1. Step 1: Write the proportion equation
   35,789 : 76,186 = 76,186 : x
2. Step 2: Convert to fraction form
   35,789/76,186 = 76,186/x
3. Step 3: Cross multiply
   35,789x = 76,186 × 76,186
4. Step 4: Simplify right side
   35,789x = 5,804,306,596
5. Step 5: Solve for x
   x = 5,804,306,596/35,789
6. Step 6: Final answer
   x = 162,181.30