Finding the Third Proportional to 25,640 and 55,654

Step by Step Solution

1. Step 1: Write the proportion equation
   25,640 : 55,654 = 55,654 : x
2. Step 2: Convert to fraction form
   25,640/55,654 = 55,654/x
3. Step 3: Cross multiply
   25,640x = 55,654 × 55,654
4. Step 4: Simplify right side
   25,640x = 3,097,367,716
5. Step 5: Solve for x
   x = 3,097,367,716/25,640
6. Step 6: Final answer
   x = 120,802.17