Finding the Third Proportional to 35,648 and 76,070

Step by Step Solution

1. Step 1: Write the proportion equation
   35,648 : 76,070 = 76,070 : x
2. Step 2: Convert to fraction form
   35,648/76,070 = 76,070/x
3. Step 3: Cross multiply
   35,648x = 76,070 × 76,070
4. Step 4: Simplify right side
   35,648x = 5,786,644,900
5. Step 5: Solve for x
   x = 5,786,644,900/35,648
6. Step 6: Final answer
   x = 162,327.34