Finding the Third Proportional to 17,880 and 25,821

Step by Step Solution

1. Step 1: Write the proportion equation
   17,880 : 25,821 = 25,821 : x
2. Step 2: Convert to fraction form
   17,880/25,821 = 25,821/x
3. Step 3: Cross multiply
   17,880x = 25,821 × 25,821
4. Step 4: Simplify right side
   17,880x = 666,724,041
5. Step 5: Solve for x
   x = 666,724,041/17,880
6. Step 6: Final answer
   x = 37,288.82