Finding the Third Proportional to 35,368 and 76,496

Step by Step Solution

1. Step 1: Write the proportion equation
   35,368 : 76,496 = 76,496 : x
2. Step 2: Convert to fraction form
   35,368/76,496 = 76,496/x
3. Step 3: Cross multiply
   35,368x = 76,496 × 76,496
4. Step 4: Simplify right side
   35,368x = 5,851,638,016
5. Step 5: Solve for x
   x = 5,851,638,016/35,368
6. Step 6: Final answer
   x = 165,450.07