Finding the Third Proportional to 25,356 and 27,624

Step by Step Solution

1. Step 1: Write the proportion equation
   25,356 : 27,624 = 27,624 : x
2. Step 2: Convert to fraction form
   25,356/27,624 = 27,624/x
3. Step 3: Cross multiply
   25,356x = 27,624 × 27,624
4. Step 4: Simplify right side
   25,356x = 763,085,376
5. Step 5: Solve for x
   x = 763,085,376/25,356
6. Step 6: Final answer
   x = 30,094.86