Finding the Third Proportional to 35,792 and 77,174

Step by Step Solution

1. Step 1: Write the proportion equation
   35,792 : 77,174 = 77,174 : x
2. Step 2: Convert to fraction form
   35,792/77,174 = 77,174/x
3. Step 3: Cross multiply
   35,792x = 77,174 × 77,174
4. Step 4: Simplify right side
   35,792x = 5,955,826,276
5. Step 5: Solve for x
   x = 5,955,826,276/35,792
6. Step 6: Final answer
   x = 166,401.05