Finding the Third Proportional to 29,678 and 70,058

Step by Step Solution

1. Step 1: Write the proportion equation
   29,678 : 70,058 = 70,058 : x
2. Step 2: Convert to fraction form
   29,678/70,058 = 70,058/x
3. Step 3: Cross multiply
   29,678x = 70,058 × 70,058
4. Step 4: Simplify right side
   29,678x = 4,908,123,364
5. Step 5: Solve for x
   x = 4,908,123,364/29,678
6. Step 6: Final answer
   x = 165,379.18