Finding the Third Proportional to 17,664 and 25,820

Step by Step Solution

1. Step 1: Write the proportion equation
   17,664 : 25,820 = 25,820 : x
2. Step 2: Convert to fraction form
   17,664/25,820 = 25,820/x
3. Step 3: Cross multiply
   17,664x = 25,820 × 25,820
4. Step 4: Simplify right side
   17,664x = 666,672,400
5. Step 5: Solve for x
   x = 666,672,400/17,664
6. Step 6: Final answer
   x = 37,741.87