Finding the Third Proportional to 25,924 and 55,984

Step by Step Solution

1. Step 1: Write the proportion equation
   25,924 : 55,984 = 55,984 : x
2. Step 2: Convert to fraction form
   25,924/55,984 = 55,984/x
3. Step 3: Cross multiply
   25,924x = 55,984 × 55,984
4. Step 4: Simplify right side
   25,924x = 3,134,208,256
5. Step 5: Solve for x
   x = 3,134,208,256/25,924
6. Step 6: Final answer
   x = 120,899.87