Finding the Third Proportional to 6,124 and 13,580

Step by Step Solution

1. Step 1: Write the proportion equation
   6,124 : 13,580 = 13,580 : x
2. Step 2: Convert to fraction form
   6,124/13,580 = 13,580/x
3. Step 3: Cross multiply
   6,124x = 13,580 × 13,580
4. Step 4: Simplify right side
   6,124x = 184,416,400
5. Step 5: Solve for x
   x = 184,416,400/6,124
6. Step 6: Final answer
   x = 30,113.72