Finding the Third Proportional to 12,101 and 25,654

Step by Step Solution

1. Step 1: Write the proportion equation
   12,101 : 25,654 = 25,654 : x
2. Step 2: Convert to fraction form
   12,101/25,654 = 25,654/x
3. Step 3: Cross multiply
   12,101x = 25,654 × 25,654
4. Step 4: Simplify right side
   12,101x = 658,127,716
5. Step 5: Solve for x
   x = 658,127,716/12,101
6. Step 6: Final answer
   x = 54,386.23