Finding the Third Proportional to 11,602 and 25,172

Step by Step Solution

1. Step 1: Write the proportion equation
   11,602 : 25,172 = 25,172 : x
2. Step 2: Convert to fraction form
   11,602/25,172 = 25,172/x
3. Step 3: Cross multiply
   11,602x = 25,172 × 25,172
4. Step 4: Simplify right side
   11,602x = 633,629,584
5. Step 5: Solve for x
   x = 633,629,584/11,602
6. Step 6: Final answer
   x = 54,613.82