Finding the Third Proportional to 25,338 and 37,230

Step by Step Solution

1. Step 1: Write the proportion equation
   25,338 : 37,230 = 37,230 : x
2. Step 2: Convert to fraction form
   25,338/37,230 = 37,230/x
3. Step 3: Cross multiply
   25,338x = 37,230 × 37,230
4. Step 4: Simplify right side
   25,338x = 1,386,072,900
5. Step 5: Solve for x
   x = 1,386,072,900/25,338
6. Step 6: Final answer
   x = 54,703.33