Finding the Third Proportional to 35,131 and 76,139

Step by Step Solution

1. Step 1: Write the proportion equation
   35,131 : 76,139 = 76,139 : x
2. Step 2: Convert to fraction form
   35,131/76,139 = 76,139/x
3. Step 3: Cross multiply
   35,131x = 76,139 × 76,139
4. Step 4: Simplify right side
   35,131x = 5,797,147,321
5. Step 5: Solve for x
   x = 5,797,147,321/35,131
6. Step 6: Final answer
   x = 165,015.15