Finding the Third Proportional to 11,748 and 25,761

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748 : 25,761 = 25,761 : x
2. Step 2: Convert to fraction form
   11,748/25,761 = 25,761/x
3. Step 3: Cross multiply
   11,748x = 25,761 × 25,761
4. Step 4: Simplify right side
   11,748x = 663,629,121
5. Step 5: Solve for x
   x = 663,629,121/11,748
6. Step 6: Final answer
   x = 56,488.69