Finding the Third Proportional to 25,872 and 37,798

Step by Step Solution

1. Step 1: Write the proportion equation
   25,872 : 37,798 = 37,798 : x
2. Step 2: Convert to fraction form
   25,872/37,798 = 37,798/x
3. Step 3: Cross multiply
   25,872x = 37,798 × 37,798
4. Step 4: Simplify right side
   25,872x = 1,428,688,804
5. Step 5: Solve for x
   x = 1,428,688,804/25,872
6. Step 6: Final answer
   x = 55,221.43