Finding the Third Proportional to 10,009.50 and 21,729

Step by Step Solution

1. Step 1: Write the proportion equation
   10,009.50 : 21,729 = 21,729 : x
2. Step 2: Convert to fraction form
   10,009.50/21,729 = 21,729/x
3. Step 3: Cross multiply
   10,009.50x = 21,729 × 21,729
4. Step 4: Simplify right side
   10,009.50x = 472,149,441
5. Step 5: Solve for x
   x = 472,149,441/10,009.50
6. Step 6: Final answer
   x = 47,170.13