Finding the Third Proportional to 34,839 and 76,350

Step by Step Solution

1. Step 1: Write the proportion equation
   34,839 : 76,350 = 76,350 : x
2. Step 2: Convert to fraction form
   34,839/76,350 = 76,350/x
3. Step 3: Cross multiply
   34,839x = 76,350 × 76,350
4. Step 4: Simplify right side
   34,839x = 5,829,322,500
5. Step 5: Solve for x
   x = 5,829,322,500/34,839
6. Step 6: Final answer
   x = 167,321.75