Finding the Third Proportional to 17,872 and 25,120

Step by Step Solution

1. Step 1: Write the proportion equation
   17,872 : 25,120 = 25,120 : x
2. Step 2: Convert to fraction form
   17,872/25,120 = 25,120/x
3. Step 3: Cross multiply
   17,872x = 25,120 × 25,120
4. Step 4: Simplify right side
   17,872x = 631,014,400
5. Step 5: Solve for x
   x = 631,014,400/17,872
6. Step 6: Final answer
   x = 35,307.43