Finding the Third Proportional to 11,902 and 25,748

Step by Step Solution

1. Step 1: Write the proportion equation
   11,902 : 25,748 = 25,748 : x
2. Step 2: Convert to fraction form
   11,902/25,748 = 25,748/x
3. Step 3: Cross multiply
   11,902x = 25,748 × 25,748
4. Step 4: Simplify right side
   11,902x = 662,959,504
5. Step 5: Solve for x
   x = 662,959,504/11,902
6. Step 6: Final answer
   x = 55,701.52