Finding the Third Proportional to 35,128 and 76,086

Step by Step Solution

1. Step 1: Write the proportion equation
   35,128 : 76,086 = 76,086 : x
2. Step 2: Convert to fraction form
   35,128/76,086 = 76,086/x
3. Step 3: Cross multiply
   35,128x = 76,086 × 76,086
4. Step 4: Simplify right side
   35,128x = 5,789,079,396
5. Step 5: Solve for x
   x = 5,789,079,396/35,128
6. Step 6: Final answer
   x = 164,799.57