Finding the Third Proportional to 35,723 and 78,496

Step by Step Solution

1. Step 1: Write the proportion equation
   35,723 : 78,496 = 78,496 : x
2. Step 2: Convert to fraction form
   35,723/78,496 = 78,496/x
3. Step 3: Cross multiply
   35,723x = 78,496 × 78,496
4. Step 4: Simplify right side
   35,723x = 6,161,622,016
5. Step 5: Solve for x
   x = 6,161,622,016/35,723
6. Step 6: Final answer
   x = 172,483.33