Finding the Third Proportional to 17,784 and 25,944

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784 : 25,944 = 25,944 : x
2. Step 2: Convert to fraction form
   17,784/25,944 = 25,944/x
3. Step 3: Cross multiply
   17,784x = 25,944 × 25,944
4. Step 4: Simplify right side
   17,784x = 673,091,136
5. Step 5: Solve for x
   x = 673,091,136/17,784
6. Step 6: Final answer
   x = 37,848.13