Finding the Third Proportional to 25,902 and 55,580

Step by Step Solution

1. Step 1: Write the proportion equation
   25,902 : 55,580 = 55,580 : x
2. Step 2: Convert to fraction form
   25,902/55,580 = 55,580/x
3. Step 3: Cross multiply
   25,902x = 55,580 × 55,580
4. Step 4: Simplify right side
   25,902x = 3,089,136,400
5. Step 5: Solve for x
   x = 3,089,136,400/25,902
6. Step 6: Final answer
   x = 119,262.47