Finding the Third Proportional to 34,670 and 76,036

Step by Step Solution

1. Step 1: Write the proportion equation
   34,670 : 76,036 = 76,036 : x
2. Step 2: Convert to fraction form
   34,670/76,036 = 76,036/x
3. Step 3: Cross multiply
   34,670x = 76,036 × 76,036
4. Step 4: Simplify right side
   34,670x = 5,781,473,296
5. Step 5: Solve for x
   x = 5,781,473,296/34,670
6. Step 6: Final answer
   x = 166,757.23