Finding the Third Proportional to 35,648 and 76,240

Step by Step Solution

1. Step 1: Write the proportion equation
   35,648 : 76,240 = 76,240 : x
2. Step 2: Convert to fraction form
   35,648/76,240 = 76,240/x
3. Step 3: Cross multiply
   35,648x = 76,240 × 76,240
4. Step 4: Simplify right side
   35,648x = 5,812,537,600
5. Step 5: Solve for x
   x = 5,812,537,600/35,648
6. Step 6: Final answer
   x = 163,053.68