Finding the Third Proportional to 35,522 and 76,578

Step by Step Solution

1. Step 1: Write the proportion equation
   35,522 : 76,578 = 76,578 : x
2. Step 2: Convert to fraction form
   35,522/76,578 = 76,578/x
3. Step 3: Cross multiply
   35,522x = 76,578 × 76,578
4. Step 4: Simplify right side
   35,522x = 5,864,190,084
5. Step 5: Solve for x
   x = 5,864,190,084/35,522
6. Step 6: Final answer
   x = 165,086.15