Finding the Third Proportional to 35,768 and 77,510

Step by Step Solution

1. Step 1: Write the proportion equation
   35,768 : 77,510 = 77,510 : x
2. Step 2: Convert to fraction form
   35,768/77,510 = 77,510/x
3. Step 3: Cross multiply
   35,768x = 77,510 × 77,510
4. Step 4: Simplify right side
   35,768x = 6,007,800,100
5. Step 5: Solve for x
   x = 6,007,800,100/35,768
6. Step 6: Final answer
   x = 167,965.78