Finding the Third Proportional to 35,914 and 77,120

Step by Step Solution

1. Step 1: Write the proportion equation
   35,914 : 77,120 = 77,120 : x
2. Step 2: Convert to fraction form
   35,914/77,120 = 77,120/x
3. Step 3: Cross multiply
   35,914x = 77,120 × 77,120
4. Step 4: Simplify right side
   35,914x = 5,947,494,400
5. Step 5: Solve for x
   x = 5,947,494,400/35,914
6. Step 6: Final answer
   x = 165,603.79