Finding the Third Proportional to 34,617 and 76,050

Step by Step Solution

1. Step 1: Write the proportion equation
   34,617 : 76,050 = 76,050 : x
2. Step 2: Convert to fraction form
   34,617/76,050 = 76,050/x
3. Step 3: Cross multiply
   34,617x = 76,050 × 76,050
4. Step 4: Simplify right side
   34,617x = 5,783,602,500
5. Step 5: Solve for x
   x = 5,783,602,500/34,617
6. Step 6: Final answer
   x = 167,074.05