Finding the Third Proportional to 15,738 and 34,338

Step by Step Solution

1. Step 1: Write the proportion equation
   15,738 : 34,338 = 34,338 : x
2. Step 2: Convert to fraction form
   15,738/34,338 = 34,338/x
3. Step 3: Cross multiply
   15,738x = 34,338 × 34,338
4. Step 4: Simplify right side
   15,738x = 1,179,098,244
5. Step 5: Solve for x
   x = 1,179,098,244/15,738
6. Step 6: Final answer
   x = 74,920.46