Finding the Third Proportional to 12,300 and 13,407

Step by Step Solution

1. Step 1: Write the proportion equation
   12,300 : 13,407 = 13,407 : x
2. Step 2: Convert to fraction form
   12,300/13,407 = 13,407/x
3. Step 3: Cross multiply
   12,300x = 13,407 × 13,407
4. Step 4: Simplify right side
   12,300x = 179,747,649
5. Step 5: Solve for x
   x = 179,747,649/12,300
6. Step 6: Final answer
   x = 14,613.63