Finding the Third Proportional to 13,906 and 30,269

Step by Step Solution

1. Step 1: Write the proportion equation
   13,906 : 30,269 = 30,269 : x
2. Step 2: Convert to fraction form
   13,906/30,269 = 30,269/x
3. Step 3: Cross multiply
   13,906x = 30,269 × 30,269
4. Step 4: Simplify right side
   13,906x = 916,212,361
5. Step 5: Solve for x
   x = 916,212,361/13,906
6. Step 6: Final answer
   x = 65,886.12