Finding the Third Proportional to 15,723 and 34,362

Step by Step Solution

1. Step 1: Write the proportion equation
   15,723 : 34,362 = 34,362 : x
2. Step 2: Convert to fraction form
   15,723/34,362 = 34,362/x
3. Step 3: Cross multiply
   15,723x = 34,362 × 34,362
4. Step 4: Simplify right side
   15,723x = 1,180,747,044
5. Step 5: Solve for x
   x = 1,180,747,044/15,723
6. Step 6: Final answer
   x = 75,096.80