Finding the Third Proportional to 13,414 and 30,294

Step by Step Solution

1. Step 1: Write the proportion equation
   13,414 : 30,294 = 30,294 : x
2. Step 2: Convert to fraction form
   13,414/30,294 = 30,294/x
3. Step 3: Cross multiply
   13,414x = 30,294 × 30,294
4. Step 4: Simplify right side
   13,414x = 917,726,436
5. Step 5: Solve for x
   x = 917,726,436/13,414
6. Step 6: Final answer
   x = 68,415.57