Finding the Third Proportional to 10,980 and 25,909

Step by Step Solution

1. Step 1: Write the proportion equation
   10,980 : 25,909 = 25,909 : x
2. Step 2: Convert to fraction form
   10,980/25,909 = 25,909/x
3. Step 3: Cross multiply
   10,980x = 25,909 × 25,909
4. Step 4: Simplify right side
   10,980x = 671,276,281
5. Step 5: Solve for x
   x = 671,276,281/10,980
6. Step 6: Final answer
   x = 61,136.27