Finding the Third Proportional to 13,160 and 20,404

Step by Step Solution

1. Step 1: Write the proportion equation
   13,160 : 20,404 = 20,404 : x
2. Step 2: Convert to fraction form
   13,160/20,404 = 20,404/x
3. Step 3: Cross multiply
   13,160x = 20,404 × 20,404
4. Step 4: Simplify right side
   13,160x = 416,323,216
5. Step 5: Solve for x
   x = 416,323,216/13,160
6. Step 6: Final answer
   x = 31,635.50