Finding the Third Proportional to 34,564 and 74,042

Step by Step Solution

1. Step 1: Write the proportion equation
   34,564 : 74,042 = 74,042 : x
2. Step 2: Convert to fraction form
   34,564/74,042 = 74,042/x
3. Step 3: Cross multiply
   34,564x = 74,042 × 74,042
4. Step 4: Simplify right side
   34,564x = 5,482,217,764
5. Step 5: Solve for x
   x = 5,482,217,764/34,564
6. Step 6: Final answer
   x = 158,610.63