Finding the Third Proportional to 35,530 and 76,592

Step by Step Solution

1. Step 1: Write the proportion equation
   35,530 : 76,592 = 76,592 : x
2. Step 2: Convert to fraction form
   35,530/76,592 = 76,592/x
3. Step 3: Cross multiply
   35,530x = 76,592 × 76,592
4. Step 4: Simplify right side
   35,530x = 5,866,334,464
5. Step 5: Solve for x
   x = 5,866,334,464/35,530
6. Step 6: Final answer
   x = 165,109.33