Finding the Third Proportional to 35,960 and 76,532

Step by Step Solution

1. Step 1: Write the proportion equation
   35,960 : 76,532 = 76,532 : x
2. Step 2: Convert to fraction form
   35,960/76,532 = 76,532/x
3. Step 3: Cross multiply
   35,960x = 76,532 × 76,532
4. Step 4: Simplify right side
   35,960x = 5,857,147,024
5. Step 5: Solve for x
   x = 5,857,147,024/35,960
6. Step 6: Final answer
   x = 162,879.51