Finding the Third Proportional to 10,977 and 25,897

Step by Step Solution

1. Step 1: Write the proportion equation
   10,977 : 25,897 = 25,897 : x
2. Step 2: Convert to fraction form
   10,977/25,897 = 25,897/x
3. Step 3: Cross multiply
   10,977x = 25,897 × 25,897
4. Step 4: Simplify right side
   10,977x = 670,654,609
5. Step 5: Solve for x
   x = 670,654,609/10,977
6. Step 6: Final answer
   x = 61,096.35