Finding the Third Proportional to 17,664 and 25,905

Step by Step Solution

1. Step 1: Write the proportion equation
   17,664 : 25,905 = 25,905 : x
2. Step 2: Convert to fraction form
   17,664/25,905 = 25,905/x
3. Step 3: Cross multiply
   17,664x = 25,905 × 25,905
4. Step 4: Simplify right side
   17,664x = 671,069,025
5. Step 5: Solve for x
   x = 671,069,025/17,664
6. Step 6: Final answer
   x = 37,990.77