Finding the Third Proportional to 35,538 and 77,436

Step by Step Solution

1. Step 1: Write the proportion equation
   35,538 : 77,436 = 77,436 : x
2. Step 2: Convert to fraction form
   35,538/77,436 = 77,436/x
3. Step 3: Cross multiply
   35,538x = 77,436 × 77,436
4. Step 4: Simplify right side
   35,538x = 5,996,334,096
5. Step 5: Solve for x
   x = 5,996,334,096/35,538
6. Step 6: Final answer
   x = 168,730.21