Finding the Third Proportional to 25,639 and 37,546

Step by Step Solution

1. Step 1: Write the proportion equation
   25,639 : 37,546 = 37,546 : x
2. Step 2: Convert to fraction form
   25,639/37,546 = 37,546/x
3. Step 3: Cross multiply
   25,639x = 37,546 × 37,546
4. Step 4: Simplify right side
   25,639x = 1,409,702,116
5. Step 5: Solve for x
   x = 1,409,702,116/25,639
6. Step 6: Final answer
   x = 54,982.73