Finding the Third Proportional to 35,571 and 77,406

Step by Step Solution

1. Step 1: Write the proportion equation
   35,571 : 77,406 = 77,406 : x
2. Step 2: Convert to fraction form
   35,571/77,406 = 77,406/x
3. Step 3: Cross multiply
   35,571x = 77,406 × 77,406
4. Step 4: Simplify right side
   35,571x = 5,991,688,836
5. Step 5: Solve for x
   x = 5,991,688,836/35,571
6. Step 6: Final answer
   x = 168,443.08