Finding the Third Proportional to 34,538 and 74,521

Step by Step Solution

1. Step 1: Write the proportion equation
   34,538 : 74,521 = 74,521 : x
2. Step 2: Convert to fraction form
   34,538/74,521 = 74,521/x
3. Step 3: Cross multiply
   34,538x = 74,521 × 74,521
4. Step 4: Simplify right side
   34,538x = 5,553,379,441
5. Step 5: Solve for x
   x = 5,553,379,441/34,538
6. Step 6: Final answer
   x = 160,790.42