Finding the Third Proportional to 10,029.50 and 21,733

Step by Step Solution

1. Step 1: Write the proportion equation
   10,029.50 : 21,733 = 21,733 : x
2. Step 2: Convert to fraction form
   10,029.50/21,733 = 21,733/x
3. Step 3: Cross multiply
   10,029.50x = 21,733 × 21,733
4. Step 4: Simplify right side
   10,029.50x = 472,323,289
5. Step 5: Solve for x
   x = 472,323,289/10,029.50
6. Step 6: Final answer
   x = 47,093.40