Finding the Third Proportional to 25,588 and 55,547

Step by Step Solution

1. Step 1: Write the proportion equation
   25,588 : 55,547 = 55,547 : x
2. Step 2: Convert to fraction form
   25,588/55,547 = 55,547/x
3. Step 3: Cross multiply
   25,588x = 55,547 × 55,547
4. Step 4: Simplify right side
   25,588x = 3,085,469,209
5. Step 5: Solve for x
   x = 3,085,469,209/25,588
6. Step 6: Final answer
   x = 120,582.66