Finding the Third Proportional to 17,880 and 25,788

Step by Step Solution

1. Step 1: Write the proportion equation
   17,880 : 25,788 = 25,788 : x
2. Step 2: Convert to fraction form
   17,880/25,788 = 25,788/x
3. Step 3: Cross multiply
   17,880x = 25,788 × 25,788
4. Step 4: Simplify right side
   17,880x = 665,020,944
5. Step 5: Solve for x
   x = 665,020,944/17,880
6. Step 6: Final answer
   x = 37,193.57