Finding the Third Proportional to 11,761 and 25,117

Step by Step Solution

1. Step 1: Write the proportion equation
   11,761 : 25,117 = 25,117 : x
2. Step 2: Convert to fraction form
   11,761/25,117 = 25,117/x
3. Step 3: Cross multiply
   11,761x = 25,117 × 25,117
4. Step 4: Simplify right side
   11,761x = 630,863,689
5. Step 5: Solve for x
   x = 630,863,689/11,761
6. Step 6: Final answer
   x = 53,640.31