Finding the Third Proportional to 9,838.50 and 21,253.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.50 : 21,253.50 = 21,253.50 : x
2. Step 2: Convert to fraction form
   9,838.50/21,253.50 = 21,253.50/x
3. Step 3: Cross multiply
   9,838.50x = 21,253.50 × 21,253.50
4. Step 4: Simplify right side
   9,838.50x = 451,711,262.25
5. Step 5: Solve for x
   x = 451,711,262.25/9,838.50
6. Step 6: Final answer
   x = 45,912.61