Finding the Third Proportional to 35,420 and 77,084

Step by Step Solution

1. Step 1: Write the proportion equation
   35,420 : 77,084 = 77,084 : x
2. Step 2: Convert to fraction form
   35,420/77,084 = 77,084/x
3. Step 3: Cross multiply
   35,420x = 77,084 × 77,084
4. Step 4: Simplify right side
   35,420x = 5,941,943,056
5. Step 5: Solve for x
   x = 5,941,943,056/35,420
6. Step 6: Final answer
   x = 167,756.72