Finding the Third Proportional to 15,872 and 34,488

Step by Step Solution

1. Step 1: Write the proportion equation
   15,872 : 34,488 = 34,488 : x
2. Step 2: Convert to fraction form
   15,872/34,488 = 34,488/x
3. Step 3: Cross multiply
   15,872x = 34,488 × 34,488
4. Step 4: Simplify right side
   15,872x = 1,189,422,144
5. Step 5: Solve for x
   x = 1,189,422,144/15,872
6. Step 6: Final answer
   x = 74,938.39