Finding the Third Proportional to 10,395.50 and 19,833

Step by Step Solution

1. Step 1: Write the proportion equation
   10,395.50 : 19,833 = 19,833 : x
2. Step 2: Convert to fraction form
   10,395.50/19,833 = 19,833/x
3. Step 3: Cross multiply
   10,395.50x = 19,833 × 19,833
4. Step 4: Simplify right side
   10,395.50x = 393,347,889
5. Step 5: Solve for x
   x = 393,347,889/10,395.50
6. Step 6: Final answer
   x = 37,838.28