Finding the Third Proportional to 25,991 and 56,645

Step by Step Solution

1. Step 1: Write the proportion equation
   25,991 : 56,645 = 56,645 : x
2. Step 2: Convert to fraction form
   25,991/56,645 = 56,645/x
3. Step 3: Cross multiply
   25,991x = 56,645 × 56,645
4. Step 4: Simplify right side
   25,991x = 3,208,656,025
5. Step 5: Solve for x
   x = 3,208,656,025/25,991
6. Step 6: Final answer
   x = 123,452.58