Finding the Third Proportional to 25,888 and 56,654

Step by Step Solution

1. Step 1: Write the proportion equation
   25,888 : 56,654 = 56,654 : x
2. Step 2: Convert to fraction form
   25,888/56,654 = 56,654/x
3. Step 3: Cross multiply
   25,888x = 56,654 × 56,654
4. Step 4: Simplify right side
   25,888x = 3,209,675,716
5. Step 5: Solve for x
   x = 3,209,675,716/25,888
6. Step 6: Final answer
   x = 123,983.15