Finding the Third Proportional to 25,628 and 37,548

Step by Step Solution

1. Step 1: Write the proportion equation
   25,628 : 37,548 = 37,548 : x
2. Step 2: Convert to fraction form
   25,628/37,548 = 37,548/x
3. Step 3: Cross multiply
   25,628x = 37,548 × 37,548
4. Step 4: Simplify right side
   25,628x = 1,409,852,304
5. Step 5: Solve for x
   x = 1,409,852,304/25,628
6. Step 6: Final answer
   x = 55,012.19