Finding the Third Proportional to 15,746 and 34,412

Step by Step Solution

1. Step 1: Write the proportion equation
   15,746 : 34,412 = 34,412 : x
2. Step 2: Convert to fraction form
   15,746/34,412 = 34,412/x
3. Step 3: Cross multiply
   15,746x = 34,412 × 34,412
4. Step 4: Simplify right side
   15,746x = 1,184,185,744
5. Step 5: Solve for x
   x = 1,184,185,744/15,746
6. Step 6: Final answer
   x = 75,205.50