Finding the Third Proportional to 34,738 and 53,823

Step by Step Solution

1. Step 1: Write the proportion equation
   34,738 : 53,823 = 53,823 : x
2. Step 2: Convert to fraction form
   34,738/53,823 = 53,823/x
3. Step 3: Cross multiply
   34,738x = 53,823 × 53,823
4. Step 4: Simplify right side
   34,738x = 2,896,915,329
5. Step 5: Solve for x
   x = 2,896,915,329/34,738
6. Step 6: Final answer
   x = 83,393.27