Finding the Third Proportional to 25,761 and 54,897

Step by Step Solution

1. Step 1: Write the proportion equation
   25,761 : 54,897 = 54,897 : x
2. Step 2: Convert to fraction form
   25,761/54,897 = 54,897/x
3. Step 3: Cross multiply
   25,761x = 54,897 × 54,897
4. Step 4: Simplify right side
   25,761x = 3,013,680,609
5. Step 5: Solve for x
   x = 3,013,680,609/25,761
6. Step 6: Final answer
   x = 116,986.17