Finding the Third Proportional to 34,860 and 76,390

Step by Step Solution

1. Step 1: Write the proportion equation
   34,860 : 76,390 = 76,390 : x
2. Step 2: Convert to fraction form
   34,860/76,390 = 76,390/x
3. Step 3: Cross multiply
   34,860x = 76,390 × 76,390
4. Step 4: Simplify right side
   34,860x = 5,835,432,100
5. Step 5: Solve for x
   x = 5,835,432,100/34,860
6. Step 6: Final answer
   x = 167,396.22