Finding the Third Proportional to 17,672 and 25,740

Step by Step Solution

1. Step 1: Write the proportion equation
   17,672 : 25,740 = 25,740 : x
2. Step 2: Convert to fraction form
   17,672/25,740 = 25,740/x
3. Step 3: Cross multiply
   17,672x = 25,740 × 25,740
4. Step 4: Simplify right side
   17,672x = 662,547,600
5. Step 5: Solve for x
   x = 662,547,600/17,672
6. Step 6: Final answer
   x = 37,491.38