Finding the Third Proportional to 35,379 and 76,290

Step by Step Solution

1. Step 1: Write the proportion equation
   35,379 : 76,290 = 76,290 : x
2. Step 2: Convert to fraction form
   35,379/76,290 = 76,290/x
3. Step 3: Cross multiply
   35,379x = 76,290 × 76,290
4. Step 4: Simplify right side
   35,379x = 5,820,164,100
5. Step 5: Solve for x
   x = 5,820,164,100/35,379
6. Step 6: Final answer
   x = 164,509.01