Finding the Third Proportional to 35,581 and 76,661

Step by Step Solution

1. Step 1: Write the proportion equation
   35,581 : 76,661 = 76,661 : x
2. Step 2: Convert to fraction form
   35,581/76,661 = 76,661/x
3. Step 3: Cross multiply
   35,581x = 76,661 × 76,661
4. Step 4: Simplify right side
   35,581x = 5,876,908,921
5. Step 5: Solve for x
   x = 5,876,908,921/35,581
6. Step 6: Final answer
   x = 165,169.86