Finding the Third Proportional to 25,770 and 56,460

Step by Step Solution

1. Step 1: Write the proportion equation
   25,770 : 56,460 = 56,460 : x
2. Step 2: Convert to fraction form
   25,770/56,460 = 56,460/x
3. Step 3: Cross multiply
   25,770x = 56,460 × 56,460
4. Step 4: Simplify right side
   25,770x = 3,187,731,600
5. Step 5: Solve for x
   x = 3,187,731,600/25,770
6. Step 6: Final answer
   x = 123,699.32