Finding the Third Proportional to 34,780 and 76,124

Step by Step Solution

1. Step 1: Write the proportion equation
   34,780 : 76,124 = 76,124 : x
2. Step 2: Convert to fraction form
   34,780/76,124 = 76,124/x
3. Step 3: Cross multiply
   34,780x = 76,124 × 76,124
4. Step 4: Simplify right side
   34,780x = 5,794,863,376
5. Step 5: Solve for x
   x = 5,794,863,376/34,780
6. Step 6: Final answer
   x = 166,614.82