Finding the Third Proportional to 15,734 and 21,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,734 : 21,998.50 = 21,998.50 : x
2. Step 2: Convert to fraction form
   15,734/21,998.50 = 21,998.50/x
3. Step 3: Cross multiply
   15,734x = 21,998.50 × 21,998.50
4. Step 4: Simplify right side
   15,734x = 483,934,002.25
5. Step 5: Solve for x
   x = 483,934,002.25/15,734
6. Step 6: Final answer
   x = 30,757.21