Finding the Third Proportional to 34,264 and 74,738

Step by Step Solution

1. Step 1: Write the proportion equation
   34,264 : 74,738 = 74,738 : x
2. Step 2: Convert to fraction form
   34,264/74,738 = 74,738/x
3. Step 3: Cross multiply
   34,264x = 74,738 × 74,738
4. Step 4: Simplify right side
   34,264x = 5,585,768,644
5. Step 5: Solve for x
   x = 5,585,768,644/34,264
6. Step 6: Final answer
   x = 163,021.50