Finding the Third Proportional to 35,581.75 and 76,661.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,581.75 : 76,661.75 = 76,661.75 : x
2. Step 2: Convert to fraction form
   35,581.75/76,661.75 = 76,661.75/x
3. Step 3: Cross multiply
   35,581.75x = 76,661.75 × 76,661.75
4. Step 4: Simplify right side
   35,581.75x = 5,877,023,913.06
5. Step 5: Solve for x
   x = 5,877,023,913.06/35,581.75
6. Step 6: Final answer
   x = 165,169.61