Finding the Third Proportional to 34,914 and 49,364

Step by Step Solution

1. Step 1: Write the proportion equation
   34,914 : 49,364 = 49,364 : x
2. Step 2: Convert to fraction form
   34,914/49,364 = 49,364/x
3. Step 3: Cross multiply
   34,914x = 49,364 × 49,364
4. Step 4: Simplify right side
   34,914x = 2,436,804,496
5. Step 5: Solve for x
   x = 2,436,804,496/34,914
6. Step 6: Final answer
   x = 69,794.48