Finding the Third Proportional to 14,097 and 25,602

Step by Step Solution

1. Step 1: Write the proportion equation
   14,097 : 25,602 = 25,602 : x
2. Step 2: Convert to fraction form
   14,097/25,602 = 25,602/x
3. Step 3: Cross multiply
   14,097x = 25,602 × 25,602
4. Step 4: Simplify right side
   14,097x = 655,462,404
5. Step 5: Solve for x
   x = 655,462,404/14,097
6. Step 6: Final answer
   x = 46,496.59