Finding the Third Proportional to 12,160 and 25,759

Step by Step Solution

1. Step 1: Write the proportion equation
   12,160 : 25,759 = 25,759 : x
2. Step 2: Convert to fraction form
   12,160/25,759 = 25,759/x
3. Step 3: Cross multiply
   12,160x = 25,759 × 25,759
4. Step 4: Simplify right side
   12,160x = 663,526,081
5. Step 5: Solve for x
   x = 663,526,081/12,160
6. Step 6: Final answer
   x = 54,566.29