Finding the Third Proportional to 34,766 and 76,442

Step by Step Solution

1. Step 1: Write the proportion equation
   34,766 : 76,442 = 76,442 : x
2. Step 2: Convert to fraction form
   34,766/76,442 = 76,442/x
3. Step 3: Cross multiply
   34,766x = 76,442 × 76,442
4. Step 4: Simplify right side
   34,766x = 5,843,379,364
5. Step 5: Solve for x
   x = 5,843,379,364/34,766
6. Step 6: Final answer
   x = 168,077.41