Finding the Third Proportional to 25,580 and 55,598

Step by Step Solution

1. Step 1: Write the proportion equation
   25,580 : 55,598 = 55,598 : x
2. Step 2: Convert to fraction form
   25,580/55,598 = 55,598/x
3. Step 3: Cross multiply
   25,580x = 55,598 × 55,598
4. Step 4: Simplify right side
   25,580x = 3,091,137,604
5. Step 5: Solve for x
   x = 3,091,137,604/25,580
6. Step 6: Final answer
   x = 120,841.97