Finding the Third Proportional to 35,741 and 76,390

Step by Step Solution

1. Step 1: Write the proportion equation
   35,741 : 76,390 = 76,390 : x
2. Step 2: Convert to fraction form
   35,741/76,390 = 76,390/x
3. Step 3: Cross multiply
   35,741x = 76,390 × 76,390
4. Step 4: Simplify right side
   35,741x = 5,835,432,100
5. Step 5: Solve for x
   x = 5,835,432,100/35,741
6. Step 6: Final answer
   x = 163,269.97