Finding the Third Proportional to 25,642 and 55,657

Step by Step Solution

1. Step 1: Write the proportion equation
   25,642 : 55,657 = 55,657 : x
2. Step 2: Convert to fraction form
   25,642/55,657 = 55,657/x
3. Step 3: Cross multiply
   25,642x = 55,657 × 55,657
4. Step 4: Simplify right side
   25,642x = 3,097,701,649
5. Step 5: Solve for x
   x = 3,097,701,649/25,642
6. Step 6: Final answer
   x = 120,805.77