Finding the Third Proportional to 25,878 and 56,072

Step by Step Solution

1. Step 1: Write the proportion equation
   25,878 : 56,072 = 56,072 : x
2. Step 2: Convert to fraction form
   25,878/56,072 = 56,072/x
3. Step 3: Cross multiply
   25,878x = 56,072 × 56,072
4. Step 4: Simplify right side
   25,878x = 3,144,069,184
5. Step 5: Solve for x
   x = 3,144,069,184/25,878
6. Step 6: Final answer
   x = 121,495.83