Finding the Third Proportional to 25,725 and 55,659

Step by Step Solution

1. Step 1: Write the proportion equation
   25,725 : 55,659 = 55,659 : x
2. Step 2: Convert to fraction form
   25,725/55,659 = 55,659/x
3. Step 3: Cross multiply
   25,725x = 55,659 × 55,659
4. Step 4: Simplify right side
   25,725x = 3,097,924,281
5. Step 5: Solve for x
   x = 3,097,924,281/25,725
6. Step 6: Final answer
   x = 120,424.66