Finding the Third Proportional to 15,738 and 34,059

Step by Step Solution

1. Step 1: Write the proportion equation
   15,738 : 34,059 = 34,059 : x
2. Step 2: Convert to fraction form
   15,738/34,059 = 34,059/x
3. Step 3: Cross multiply
   15,738x = 34,059 × 34,059
4. Step 4: Simplify right side
   15,738x = 1,160,015,481
5. Step 5: Solve for x
   x = 1,160,015,481/15,738
6. Step 6: Final answer
   x = 73,707.93