Finding the Third Proportional to 34,900 and 76,280

Step by Step Solution

1. Step 1: Write the proportion equation
   34,900 : 76,280 = 76,280 : x
2. Step 2: Convert to fraction form
   34,900/76,280 = 76,280/x
3. Step 3: Cross multiply
   34,900x = 76,280 × 76,280
4. Step 4: Simplify right side
   34,900x = 5,818,638,400
5. Step 5: Solve for x
   x = 5,818,638,400/34,900
6. Step 6: Final answer
   x = 166,723.16