Finding the Third Proportional to 25,942 and 56,595

Step by Step Solution

1. Step 1: Write the proportion equation
   25,942 : 56,595 = 56,595 : x
2. Step 2: Convert to fraction form
   25,942/56,595 = 56,595/x
3. Step 3: Cross multiply
   25,942x = 56,595 × 56,595
4. Step 4: Simplify right side
   25,942x = 3,202,994,025
5. Step 5: Solve for x
   x = 3,202,994,025/25,942
6. Step 6: Final answer
   x = 123,467.51