Finding the Third Proportional to 13,838.25 and 30,273.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838.25 : 30,273.75 = 30,273.75 : x
2. Step 2: Convert to fraction form
   13,838.25/30,273.75 = 30,273.75/x
3. Step 3: Cross multiply
   13,838.25x = 30,273.75 × 30,273.75
4. Step 4: Simplify right side
   13,838.25x = 916,499,939.06
5. Step 5: Solve for x
   x = 916,499,939.06/13,838.25
6. Step 6: Final answer
   x = 66,229.47