Finding the Third Proportional to 13,689 and 30,213

Step by Step Solution

1. Step 1: Write the proportion equation
   13,689 : 30,213 = 30,213 : x
2. Step 2: Convert to fraction form
   13,689/30,213 = 30,213/x
3. Step 3: Cross multiply
   13,689x = 30,213 × 30,213
4. Step 4: Simplify right side
   13,689x = 912,825,369
5. Step 5: Solve for x
   x = 912,825,369/13,689
6. Step 6: Final answer
   x = 66,683.13