Finding the Third Proportional to 25,760 and 59,639

Step by Step Solution

1. Step 1: Write the proportion equation
   25,760 : 59,639 = 59,639 : x
2. Step 2: Convert to fraction form
   25,760/59,639 = 59,639/x
3. Step 3: Cross multiply
   25,760x = 59,639 × 59,639
4. Step 4: Simplify right side
   25,760x = 3,556,810,321
5. Step 5: Solve for x
   x = 3,556,810,321/25,760
6. Step 6: Final answer
   x = 138,074.93