Finding the Third Proportional to 35,804 and 76,792

Step by Step Solution

1. Step 1: Write the proportion equation
   35,804 : 76,792 = 76,792 : x
2. Step 2: Convert to fraction form
   35,804/76,792 = 76,792/x
3. Step 3: Cross multiply
   35,804x = 76,792 × 76,792
4. Step 4: Simplify right side
   35,804x = 5,897,011,264
5. Step 5: Solve for x
   x = 5,897,011,264/35,804
6. Step 6: Final answer
   x = 164,702.58