Finding the Third Proportional to 11,642 and 25,156

Step by Step Solution

1. Step 1: Write the proportion equation
   11,642 : 25,156 = 25,156 : x
2. Step 2: Convert to fraction form
   11,642/25,156 = 25,156/x
3. Step 3: Cross multiply
   11,642x = 25,156 × 25,156
4. Step 4: Simplify right side
   11,642x = 632,824,336
5. Step 5: Solve for x
   x = 632,824,336/11,642
6. Step 6: Final answer
   x = 54,357.01