Finding the Third Proportional to 7,827.50 and 17,404

Step by Step Solution

1. Step 1: Write the proportion equation
   7,827.50 : 17,404 = 17,404 : x
2. Step 2: Convert to fraction form
   7,827.50/17,404 = 17,404/x
3. Step 3: Cross multiply
   7,827.50x = 17,404 × 17,404
4. Step 4: Simplify right side
   7,827.50x = 302,899,216
5. Step 5: Solve for x
   x = 302,899,216/7,827.50
6. Step 6: Final answer
   x = 38,696.80