Finding the Third Proportional to 10,969 and 25,877

Step by Step Solution

1. Step 1: Write the proportion equation
   10,969 : 25,877 = 25,877 : x
2. Step 2: Convert to fraction form
   10,969/25,877 = 25,877/x
3. Step 3: Cross multiply
   10,969x = 25,877 × 25,877
4. Step 4: Simplify right side
   10,969x = 669,619,129
5. Step 5: Solve for x
   x = 669,619,129/10,969
6. Step 6: Final answer
   x = 61,046.51