Finding the Third Proportional to 35,648 and 76,560

Step by Step Solution

1. Step 1: Write the proportion equation
   35,648 : 76,560 = 76,560 : x
2. Step 2: Convert to fraction form
   35,648/76,560 = 76,560/x
3. Step 3: Cross multiply
   35,648x = 76,560 × 76,560
4. Step 4: Simplify right side
   35,648x = 5,861,433,600
5. Step 5: Solve for x
   x = 5,861,433,600/35,648
6. Step 6: Final answer
   x = 164,425.31