Finding the Third Proportional to 25,563 and 55,624

Step by Step Solution

1. Step 1: Write the proportion equation
   25,563 : 55,624 = 55,624 : x
2. Step 2: Convert to fraction form
   25,563/55,624 = 55,624/x
3. Step 3: Cross multiply
   25,563x = 55,624 × 55,624
4. Step 4: Simplify right side
   25,563x = 3,094,029,376
5. Step 5: Solve for x
   x = 3,094,029,376/25,563
6. Step 6: Final answer
   x = 121,035.46