Finding the Third Proportional to 11,762 and 25,828

Step by Step Solution

1. Step 1: Write the proportion equation
   11,762 : 25,828 = 25,828 : x
2. Step 2: Convert to fraction form
   11,762/25,828 = 25,828/x
3. Step 3: Cross multiply
   11,762x = 25,828 × 25,828
4. Step 4: Simplify right side
   11,762x = 667,085,584
5. Step 5: Solve for x
   x = 667,085,584/11,762
6. Step 6: Final answer
   x = 56,715.32